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91Ó°ÊÓ

Consider the graph of the function:

Find the limits of function.

Short Answer

Expert verified

The values of the given limits are 1.75,0,-2,∞.

Step by step solution

01

Step 1. Given graph

02

Step 2. Finding limits at point x=0

Herethelimitexpressionislimx->0g(x)Fromthegraph,thefunctionalvaluetowardsx=0isg(x)=1.75Therefore,limx->0g(x)=1.75

03

Step 3. Finding limits at point x=3

Herethelimitexpressionislimx->3g(x)Fromthegraph,thefunctionalvaluetowardsx=3isg(x)=0Therefore,limx->3g(x)=0

04

Step 4. Finding limits at point x= -∞

Herethelimitexpressionislimx->-∞g(x)Fromthegraph,thefunctionalvaluetowardsx=-∞isg(x)=-2Therefore,limx->-∞g(x)=-2

05

Step 5. Finding limits at point x= ∞

Herethelimitexpressionislimx->∞g(x)Fromthegraph,thefunctionalvaluetowardsx=∞isg(x)=∞Therefore,limx->∞g(x)=∞

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