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Chapter 14: Q. 42 (page 876)

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

Short Answer

Expert verified

the limit of a given function at x=0 is 0

Step by step solution

01

step1. Given information 

The given function limx鈫�0f(x),f(x)=exifx>01-xifx鈮�0

02

step2. Explanation about the existence of a limit of the given function 

To find the limit we have to draw the graph of its


We know that at the limit point as x-factor is near to limit points so that time y tends to a specific value, that specific value is the value of the function at the limit point

so according to the question, we can see in the pieces of both graphs when x is near 0, then y approach 1 in both pieces of the graph

Thus the limit of the given function is evaluated by 1

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Most popular questions from this chapter

True or False For any function f, and any real number c,limx鈫�c-f(x)=limx鈫�c+f(x).

In Problems 7鈥�16, use a table to find the indicated limit.

14.limx鈫�0ex-e-x2.

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

limx鈫�1x3-x2+3x-3x2+3x-4

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

limx鈫�2f(x),f(x)=x2ifx鈮�22x-1ifx>2

In Problems 7鈥� 42, find each limit algebraically

limx鈫�-32x3
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