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Chapter 1: Q. 32 (page 88)

Consider the graph of the function:

Find the limits of function.

Short Answer

Expert verified

The limits of the function are -1

Step by step solution

01

Step 1. Given graph

02

Step 2. Finding limits to the left

Herethelimitexpressionis:limx->1-f(x)Fromthegraph,thefunctionalvaluetotheleftofx=-1isf(x)=1.Therefore,limx->1-f(x)=1.

03

Step 3. Finding limits to the right

Herethelimitexpressionis:limx->1+f(x)Fromthegraph,thefunctionalvaluetotheleftofx=-1isf(x)=1.Therefore,limx->1+f(x)=1.

04

Step 4.  Finding limits to the Point

Herethelimitexpressionis:limx->1f(x)Fromthegraph,thefunctionalvaluetotheleftofx=-1isf(x)=1.Therefore,limx->1f(x)=1.Hencethelimitofthefunctionis-1.

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Most popular questions from this chapter

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