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91Ó°ÊÓ

Consider the graph of the function:

Find the limits of function.

Short Answer

Expert verified

The limits of the function are 2

Step by step solution

01

Step 1. Given Graph

02

Step 2. Finding limits to the left

Herethelimitexpressionis:limx->2-f(x)Fromthegraph,thefunctionalvaluetotheleftofx=-2Isf(x)=-2Therefore,limx->2-f(x)=-2.

03

Step 3. Finding limits to the right

Herethelimitexpressionis:limx->2+f(x)Fromthegraph,thefunctionalvaluetotherightofx=-2isf(x)=-2.Therefore,limx->2+f(x)=-2

04

Step 4. Finding limits to the point

Herethelimitexpressionis.limx->-2f(x)Fromthegraph,thefunctionalvaluetothepointx=-2isf(x)=-2Therefore,limx->-2f(x)=-2

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