Deck 2: Section 3: Limits and Their Properties

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Question
Let <strong>Let   and   . Find the limit.  </strong> A) -18 B) 25 C) 21 D) 8 E) 9 <div style=padding-top: 35px> and <strong>Let   and   . Find the limit.  </strong> A) -18 B) 25 C) 21 D) 8 E) 9 <div style=padding-top: 35px> . Find the limit. <strong>Let   and   . Find the limit.  </strong> A) -18 B) 25 C) 21 D) 8 E) 9 <div style=padding-top: 35px>

A) -18
B) 25
C) 21
D) 8
E) 9
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Question
Find the limit. <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)   <div style=padding-top: 35px>

A) <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)   <div style=padding-top: 35px>
B) <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)   <div style=padding-top: 35px>
C) -3
D) <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)   <div style=padding-top: 35px>
E) <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)   <div style=padding-top: 35px>
Question
Find the lmit. <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Suppose that <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)   <div style=padding-top: 35px> and <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)   <div style=padding-top: 35px> . Find the following limit. <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)   <div style=padding-top: 35px>

A) <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)   <div style=padding-top: 35px>
B) -10
C) -3
D) -23
E) <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)   <div style=padding-top: 35px>
Question
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Suppose that <strong>Suppose that   . Find the following limit.  </strong> A) -5 B) 15 C) -15 D)   E) 3 <div style=padding-top: 35px> . Find the following limit. <strong>Suppose that   . Find the following limit.  </strong> A) -5 B) 15 C) -15 D)   E) 3 <div style=padding-top: 35px>

A) -5
B) 15
C) -15
D) <strong>Suppose that   . Find the following limit.  </strong> A) -5 B) 15 C) -15 D)   E) 3 <div style=padding-top: 35px>
E) 3
Question
Find the limit (if it exists). <strong>Find the limit (if it exists).  </strong> A)   B)   C) -32 D) -8 E)   <div style=padding-top: 35px>

A) <strong>Find the limit (if it exists).  </strong> A)   B)   C) -32 D) -8 E)   <div style=padding-top: 35px>
B) <strong>Find the limit (if it exists).  </strong> A)   B)   C) -32 D) -8 E)   <div style=padding-top: 35px>
C) -32
D) -8
E) <strong>Find the limit (if it exists).  </strong> A)   B)   C) -32 D) -8 E)   <div style=padding-top: 35px>
Question
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Suppose that <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)   <div style=padding-top: 35px> and <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)   <div style=padding-top: 35px> . Find the following limit. <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)   <div style=padding-top: 35px>

A) 21
B) <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)   <div style=padding-top: 35px>
C) -21
D) <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)   <div style=padding-top: 35px>
E) <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)   <div style=padding-top: 35px>
Question
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Let <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   <div style=padding-top: 35px> and <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   <div style=padding-top: 35px> . Find the limits. <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   <div style=padding-top: 35px>

A) <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   <div style=padding-top: 35px>
B) <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   <div style=padding-top: 35px>
C) - <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   <div style=padding-top: 35px>
D) <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   <div style=padding-top: 35px>
E) <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   <div style=padding-top: 35px>
Question
Suppose that <strong>Suppose that   . Find the following limit.  </strong> A) 2 B) 125 C) 8 D) 0 E) 15 <div style=padding-top: 35px> . Find the following limit. <strong>Suppose that   . Find the following limit.  </strong> A) 2 B) 125 C) 8 D) 0 E) 15 <div style=padding-top: 35px>

A) 2
B) 125
C) 8
D) 0
E) 15
Question
Let <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Find the limit. <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the limit (if it exists). <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   . <div style=padding-top: 35px>

A) 6
B) <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   . <div style=padding-top: 35px>
C) <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   . <div style=padding-top: 35px>
D) <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   . <div style=padding-top: 35px>
E) <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   . <div style=padding-top: 35px> .
Question
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0 <div style=padding-top: 35px>

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0 <div style=padding-top: 35px>
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0 <div style=padding-top: 35px>
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0 <div style=padding-top: 35px>
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0 <div style=padding-top: 35px>
E) 0
Question
Find the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point. <strong>Find the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point.  </strong> A) 40 B) -24 C) 24 D) -40 E)   <div style=padding-top: 35px>

A) 40
B) -24
C) 24
D) -40
E) <strong>Find the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point.  </strong> A) 40 B) -24 C) 24 D) -40 E)   <div style=padding-top: 35px>
Question
Let <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)   <div style=padding-top: 35px> and <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)   <div style=padding-top: 35px> . Find the limit. <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)   <div style=padding-top: 35px>

A) 2
B) <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)   <div style=padding-top: 35px>
C) 8
D) -8
E) <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)   <div style=padding-top: 35px>
Question
Suppose that <strong>Suppose that   and   . Find the following limit.  </strong> A) -11 B) -8 C) 33 D) -14 E)   <div style=padding-top: 35px> and <strong>Suppose that   and   . Find the following limit.  </strong> A) -11 B) -8 C) 33 D) -14 E)   <div style=padding-top: 35px> . Find the following limit. <strong>Suppose that   and   . Find the following limit.  </strong> A) -11 B) -8 C) 33 D) -14 E)   <div style=padding-top: 35px>

A) -11
B) -8
C) 33
D) -14
E) <strong>Suppose that   and   . Find the following limit.  </strong> A) -11 B) -8 C) 33 D) -14 E)   <div style=padding-top: 35px>
Question
Suppose that <strong>Suppose that   and   . Find the following limit.  </strong> A) 10 B) -5 C) -25 D) -15 E) 150 <div style=padding-top: 35px> and <strong>Suppose that   and   . Find the following limit.  </strong> A) 10 B) -5 C) -25 D) -15 E) 150 <div style=padding-top: 35px> . Find the following limit. <strong>Suppose that   and   . Find the following limit.  </strong> A) 10 B) -5 C) -25 D) -15 E) 150 <div style=padding-top: 35px>

A) 10
B) -5
C) -25
D) -15
E) 150
Question
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find <strong>Find   where   .</strong> A) 1 B) 4 C) -3 D) 0 E)   <div style=padding-top: 35px> where <strong>Find   where   .</strong> A) 1 B) 4 C) -3 D) 0 E)   <div style=padding-top: 35px> .

A) 1
B) 4
C) -3
D) 0
E) <strong>Find   where   .</strong> A) 1 B) 4 C) -3 D) 0 E)   <div style=padding-top: 35px>
Question
Determine the limit (if it exists). <strong>Determine the limit (if it exists).  </strong> A) 1 B) 0 C)   D)   E)   <div style=padding-top: 35px>

A) 1
B) 0
C) <strong>Determine the limit (if it exists).  </strong> A) 1 B) 0 C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Determine the limit (if it exists).  </strong> A) 1 B) 0 C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Determine the limit (if it exists).  </strong> A) 1 B) 0 C)   D)   E)   <div style=padding-top: 35px>
Question
Determine the limit (if it exists). <strong>Determine the limit (if it exists).  </strong> A) 8 B)   C)   D) 2 E)   <div style=padding-top: 35px>

A) 8
B) <strong>Determine the limit (if it exists).  </strong> A) 8 B)   C)   D) 2 E)   <div style=padding-top: 35px>
C) <strong>Determine the limit (if it exists).  </strong> A) 8 B)   C)   D) 2 E)   <div style=padding-top: 35px>
D) 2
E) <strong>Determine the limit (if it exists).  </strong> A) 8 B)   C)   D) 2 E)   <div style=padding-top: 35px>
Question
Determine the limit (if it exists). <strong>Determine the limit (if it exists).  </strong> A) 6 B) 48 C) 10 D) 24 E)   <div style=padding-top: 35px>

A) 6
B) 48
C) 10
D) 24
E) <strong>Determine the limit (if it exists).  </strong> A) 6 B) 48 C) 10 D) 24 E)   <div style=padding-top: 35px>
Question
Find the limit (if it exists). <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 2: Section 3: Limits and Their Properties
1
Let <strong>Let   and   . Find the limit.  </strong> A) -18 B) 25 C) 21 D) 8 E) 9 and <strong>Let   and   . Find the limit.  </strong> A) -18 B) 25 C) 21 D) 8 E) 9 . Find the limit. <strong>Let   and   . Find the limit.  </strong> A) -18 B) 25 C) 21 D) 8 E) 9

A) -18
B) 25
C) 21
D) 8
E) 9
-18
2
Find the limit. <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)

A) <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)
B) <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)
C) -3
D) <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)
E) <strong>Find the limit.  </strong> A)   B)   C) -3 D)   E)
3
Find the lmit. <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the lmit.  </strong> A)   B)   C)   D)   E)
4
Suppose that <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)   and <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)   . Find the following limit. <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)

A) <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)
B) -10
C) -3
D) -23
E) <strong>Suppose that   and   . Find the following limit.  </strong> A)   B) -10 C) -3 D) -23 E)
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5
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
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6
Suppose that <strong>Suppose that   . Find the following limit.  </strong> A) -5 B) 15 C) -15 D)   E) 3 . Find the following limit. <strong>Suppose that   . Find the following limit.  </strong> A) -5 B) 15 C) -15 D)   E) 3

A) -5
B) 15
C) -15
D) <strong>Suppose that   . Find the following limit.  </strong> A) -5 B) 15 C) -15 D)   E) 3
E) 3
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7
Find the limit (if it exists). <strong>Find the limit (if it exists).  </strong> A)   B)   C) -32 D) -8 E)

A) <strong>Find the limit (if it exists).  </strong> A)   B)   C) -32 D) -8 E)
B) <strong>Find the limit (if it exists).  </strong> A)   B)   C) -32 D) -8 E)
C) -32
D) -8
E) <strong>Find the limit (if it exists).  </strong> A)   B)   C) -32 D) -8 E)
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8
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
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9
Suppose that <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)   and <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)   . Find the following limit. <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)

A) 21
B) <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)
C) -21
D) <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)
E) <strong>Suppose that   and   . Find the following limit.  </strong> A) 21 B)   C) -21 D)   E)
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10
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
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11
Let <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   and <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)   . Find the limits. <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)

A) <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)
B) <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)
C) - <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)
D) <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)
E) <strong>Let   and   . Find the limits.  </strong> A)   B)   C) -   D)   E)
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12
Suppose that <strong>Suppose that   . Find the following limit.  </strong> A) 2 B) 125 C) 8 D) 0 E) 15 . Find the following limit. <strong>Suppose that   . Find the following limit.  </strong> A) 2 B) 125 C) 8 D) 0 E) 15

A) 2
B) 125
C) 8
D) 0
E) 15
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13
Let <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   and <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)   . Find the limit. <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)

A) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)
B) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)
C) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)
D) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)
E) <strong>Let   and   . Find the limit.  </strong> A)   B)   C)   D)   E)
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14
Find the limit (if it exists). <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   .

A) 6
B) <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   .
C) <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   .
D) <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   .
E) <strong>Find the limit (if it exists).  </strong> A) 6 B)   C)   D)   E)   . .
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15
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E) 0
E) 0
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16
Find the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point. <strong>Find the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point.  </strong> A) 40 B) -24 C) 24 D) -40 E)

A) 40
B) -24
C) 24
D) -40
E) <strong>Find the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point.  </strong> A) 40 B) -24 C) 24 D) -40 E)
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17
Let <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)   and <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)   . Find the limit. <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)

A) 2
B) <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)
C) 8
D) -8
E) <strong>Let   and   . Find the limit.  </strong> A) 2 B)   C) 8 D) -8 E)
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18
Suppose that <strong>Suppose that   and   . Find the following limit.  </strong> A) -11 B) -8 C) 33 D) -14 E)   and <strong>Suppose that   and   . Find the following limit.  </strong> A) -11 B) -8 C) 33 D) -14 E)   . Find the following limit. <strong>Suppose that   and   . Find the following limit.  </strong> A) -11 B) -8 C) 33 D) -14 E)

A) -11
B) -8
C) 33
D) -14
E) <strong>Suppose that   and   . Find the following limit.  </strong> A) -11 B) -8 C) 33 D) -14 E)
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19
Suppose that <strong>Suppose that   and   . Find the following limit.  </strong> A) 10 B) -5 C) -25 D) -15 E) 150 and <strong>Suppose that   and   . Find the following limit.  </strong> A) 10 B) -5 C) -25 D) -15 E) 150 . Find the following limit. <strong>Suppose that   and   . Find the following limit.  </strong> A) 10 B) -5 C) -25 D) -15 E) 150

A) 10
B) -5
C) -25
D) -15
E) 150
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20
Find the limit. <strong>Find the limit.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the limit.  </strong> A)   B)   C)   D)   E)
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21
Find <strong>Find   where   .</strong> A) 1 B) 4 C) -3 D) 0 E)   where <strong>Find   where   .</strong> A) 1 B) 4 C) -3 D) 0 E)   .

A) 1
B) 4
C) -3
D) 0
E) <strong>Find   where   .</strong> A) 1 B) 4 C) -3 D) 0 E)
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22
Determine the limit (if it exists). <strong>Determine the limit (if it exists).  </strong> A) 1 B) 0 C)   D)   E)

A) 1
B) 0
C) <strong>Determine the limit (if it exists).  </strong> A) 1 B) 0 C)   D)   E)
D) <strong>Determine the limit (if it exists).  </strong> A) 1 B) 0 C)   D)   E)
E) <strong>Determine the limit (if it exists).  </strong> A) 1 B) 0 C)   D)   E)
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23
Determine the limit (if it exists). <strong>Determine the limit (if it exists).  </strong> A) 8 B)   C)   D) 2 E)

A) 8
B) <strong>Determine the limit (if it exists).  </strong> A) 8 B)   C)   D) 2 E)
C) <strong>Determine the limit (if it exists).  </strong> A) 8 B)   C)   D) 2 E)
D) 2
E) <strong>Determine the limit (if it exists).  </strong> A) 8 B)   C)   D) 2 E)
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24
Determine the limit (if it exists). <strong>Determine the limit (if it exists).  </strong> A) 6 B) 48 C) 10 D) 24 E)

A) 6
B) 48
C) 10
D) 24
E) <strong>Determine the limit (if it exists).  </strong> A) 6 B) 48 C) 10 D) 24 E)
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25
Find the limit (if it exists). <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)

A) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)
B) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)
C) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)
D) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)
E) <strong>Find the limit (if it exists).  </strong> A)   B)   C)   D)   E)
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