# Section 8.7 Taylor Polynomials and Approximations

Education

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All Questions

22

Multiple Choice

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Essay

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Short Answer

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Q 1

Use the Ratio Test to determine the convergence or divergence of the series .
A)converges
B)diverges

Free

Multiple Choice

B

Q 2

Use the Ratio Test to determine the convergence or divergence of the series.
A)Ratio Test inconclusive
B)converges
C)diverges

Free

Multiple Choice

C

Q 3

Use the Ratio Test to determine the convergence or divergence of the series.
A)converges
B)diverges
C)Ratio Test inconclusive

Free

Multiple Choice

A

Q 4

Use the Ratio Test to determine the convergence or divergence of the series.
A)converges
B)Ratio Test inconclusive
C)diverges

Multiple Choice

Q 5

Use the Ratio Test to determine the convergence or divergence of the series .
A)diverges
B)converges

Multiple Choice

Q 6

Use the Root Test to determine the convergence or divergence of the series .
A)converges
B)diverges

Multiple Choice

Q 7

Use the Root Test to determine the convergence or divergence of the series.
A)converges
B)diverges
C)Root Test inconclusive

Multiple Choice

Q 8

Use the Root Test to determine the convergence or divergence of the series.
A)Root Test inconclusive
B)converges
C)diverges

Multiple Choice

Q 9

Use the Root Test to determine the convergence or divergence of the series.
A)Root Test inconclusive
B)converges
C)diverges

Multiple Choice

Q 10

Use the Root Test to determine the convergence or divergence of the series .
A)converges
B)diverges

Multiple Choice

Q 11

Determine the convergence or divergence of the series using any appropriate test.
A)converges
B)diverges

Multiple Choice

Q 12

Identify the most appropriate test to be used to determine whether the series converges or diverges.
A)Ratio Test
B)ρ-Series Test
C)Alternating Series Test
D)Telescoping Series Test
E)Root Test

Multiple Choice

Q 13

Determine the convergence or divergence of the series using any appropriate test from this chapter.Identify the test used.
A)converges;Integral Test
B)converges;Ratio Test
C)converges;Alternating Series Test
D)diverges;Ratio Test
E)diverges;Integral Test

Multiple Choice

Q 14

Determine the convergence or divergence of the series using any appropriate test from this chapter.Identify the test used.
A)diverges;Ratio Test
B)converges;both p-series and Integral Test
C)converges;p-series
D)converges;Integral Test
E)diverges;p-series

Multiple Choice

Q 15

Determine the convergence or divergence of the series using any appropriate test from this chapter.Identify the test used.
A)diverges;both Ratio Test and Theorem 9.9 (n

^{th}Term Test for Divergence) B)converges;Integral Test C)diverges;Theorem 9.9 (n^{th}Term Test for Divergence) D)converges;p-series E)diverges;Ratio Test Multiple Choice

Q 16

Determine the convergence or divergence of the series using any appropriate test.
A)converges
B)diverges

Multiple Choice

Q 17

Identify the most appropriate test to be used to determine whether the series converges or diverges.
A)Limit Comparison Test with
B)Ratio Test
C)Direct Comparison Test with
D)Root Test
E)Alternating Series Test

Multiple Choice

Q 18

Determine the convergence or divergence of the series using any appropriate test.
A)diverges
B)converges

Multiple Choice

Q 19

Identify the most appropriate test to be used to determine whether the series converges or diverges.
A)Limit Comparison Test with
B)Direct Comparison Test with
C)Alternating Series Test
D)Root Test
E)Ratio Test

Multiple Choice

Q 20

The terms of a series are defined recursively.Determine the convergence or divergence of the series.Explain your reasoning. ,
A)diverges;Ratio Test
B)converges;Ratio Test
C)converges;Integral Test
D)diverges;Alternating Series Test
E)diverges;Root Test

Multiple Choice

Q 21

Find the values of x for which the series converges.
A)
B)
C)
D)
E)

Multiple Choice

Q 22

Find the values of x for which the series converges.
A)
B)
C)
D)
E)

Multiple Choice