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 $lim_{x
ightarrow0^{+}}f(x)$. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. $lim_{x
ightarrow0^{+}}f(x)=square$ (type an integer.) b. the limit does not exist.

Explanation:

Step1: Observe right - hand limit

As \(x\) approaches \(0\) from the right (\(x\to0^{+}\)), look at the \(y\) - values of the function \(f(x)\) on the graph.

Step2: Determine the value

From the graph, as \(x\) approaches \(0\) from the right, the \(y\) - value of the function approaches \(- 5\).

Answer:

A. \(\lim_{x\to0^{+}}f(x)= - 5\)