Chapter 11.1, Problem 44E

To determine

To graph: the given function and find the limit.

Answer to Problem 44E

The limit of the given function is 0

  

Explanation of Solution

Given:

  $f\left(x\right)=\frac{e^x-1}{1},\underset{x\to 0}{\lim }f\left(x\right)$

Calculation:

Graphing the given function and observing its behavior around $x=0$ shows that the

  $\begin{array}{l}\underset{x\to 0}{\lim }\frac{e^x-1}{1}=\frac{e^0-1}{1}\\ =\frac{1-1}{1}\\ =\frac{0}{1}=0\end{array}$

Since the function approaches the value 0 as x approaches 0 from both sides.

  

Conclusion:

Therefore, the limit of the given function is 0