Let $f ( x ) = \left\{ \begin{array} { c c } 2 x - 5 & x < 4 \\0 & x = 4 \\\frac { x } { 2 } & x > 4\end{array} \right.$ . Which of the following is true for $\lim _ { x \rightarrow 4 } f ( x )$ ?

Name: Let $f ( x ) = \left\{ \begin{array} { c c } 2 x - 5 & x 4 \end{array} \right.$ . Which of the following is true for $\lim _ { x \rightarrow 4 } f ( x )$ ? A)3 B)2 C)0 D)1 E)Does not exist
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Question

Let $f ( x ) = \left\{ \begin{array} { c c } 
2 x - 5 & x < 4 \
0 & x = 4 \
\frac { x } { 2 } & x > 4
\end{array} \right.$ . Which of the following is true for $\lim _ { x \rightarrow 4 } f ( x )$ ?

A)3
B)2
C)0
D)1
E)Does not exist

Quizplus · Accepted Answer

The Answer is E

Let f(x)={2x−5x<40x=4x2x>4f ( x ) = \left\{ \begin{array} { c c } 2 x - 5 & x < 4 \\0 & x = 4 \\\frac { x } { 2 } & x > 4\end{array} \right.f(x)=⎩⎨⎧​2x−502x​​x<4x=4x>4​

Let $f ( x ) = \left\{ \begin{array} { c c } 2 x - 5 & x < 4 \\0 & x = 4 \\\frac { x } { 2 } & x > 4\end{array} \right.$