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Chapter 14: Q. 31 (page 876)

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

limx鈫�0f(x),f(x)=ex

Short Answer

Expert verified

The limit is-1.

Step by step solution

01

Step 1. Given Information  

We are given a function f(x)=exand we need to graph the function and findlimx鈫�0f(x).

02

Step 2. Plotting the graph 

So, the graph of the function f(x)=exis

03

Step 3. Finding the limit   

To find the value of limx鈫�0exwe need to find the value of the function at x=0.

f(x)=ex鈬�f(0)=ex鈬�f(0)=ex鈭�limx鈫�0f(x)=1

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Most popular questions from this chapter

In Problems 7鈥� 42, find each limit algebraically.

limx鈫�15x+4.

Use a graphing utility to find the indicated limit rounded to two decimal places.

limx鈫�2x3-2x2+4x-8x2+x-6

In Problem, graph each function. Use the graph to find the indicated limit, if it exists

limx鈫�1f(x),f(x)=3xifx鈮�0x+1ifx>0

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�0f(x),f(x)=exifx>01-xifx鈮�0

Use the graph shown to determine if the limit exists. If it does, find its value.
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