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Chapter 1: Q. 36 (page 88)

Consider the graph of the function:

Find the limits of function.

Short Answer

Expert verified

The limit is 0.

Step by step solution

01

Step 1. Given graph

02

Step 2. Finding limits to the left x=1

Herethelimitexpressionislimx->1-g(x)Fromthegraph,thefunctionalvaluetotheleftofx=1isg(x)=0Therefore,limx->1-g(x)=0

03

Step 3. Finding limits to the right x=1

Herethelimitexpressionislimx->1+g(x)Fromthegraph,thefunctionalvaluetotheleftofx=1isg(x)=0Therefore,limx->1+g(x)=0

04

Step 4. Finding limits to the point x=1

Herethelimitexpressionislimx->1g(x)Fromthegraph,thefunctionalvaluetotheleftofx=1isg(x)=0Therefore,limx->1g(x)=0Hencelimitis0.

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