Chapter 14.1, Problem 42AYU

In Problems 23-42, graph each function. Use the graph to find the indicated limit, if it exists.

$\underset{x\to 0}{\lim }f\left(x\right),f\left(x\right)\text{ = }\{\begin{array}{l}{e}^x\text{ if }x>\text{ 0}\\ 1-x\text{ if }x\le \text{ 0}\end{array}$

To determine

To find: Graph of each function. Use the graph to find the indicated limit, if it exists.

Answer to Problem 42AYU

Solution:

1

Explanation of Solution

Given:

$\underset{x \to 0}{\text{lim}}f(x), f(x) = \{\begin{array}{c}{e}^x\text{ if }x > 0\\ 1 - x\text{ if }x \le 0\end{array}$

$\underset{x \to 0}{\text{lim}}f(x) = 1$