Question

use the graph of the function f shown to estimate the indicated limits and the function value. complete parts (a) through (d). (a) find the limit $lim_{x
ightarrow - 1^{+}}f(x)$. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. $lim_{x
ightarrow - 1^{+}}f(x)=-4$ (type an integer.) b. the limit does not exist.

Explanation:

Step1: Analyze right - hand limit

Look at the graph as \(x\) approaches \(- 1\) from the right side (\(x\to - 1^{+}\)). Trace the graph for values of \(x\) that are slightly greater than \(-1\).

Step2: Determine function value

As \(x\) approaches \(-1\) from the right, the \(y\) - value of the function approaches \(-4\).

Answer:

A. \(\lim_{x\to - 1^{+}}f(x)=-4\)