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91Ó°ÊÓ

Sketch graphs by hand and use them to make approximations for each of the limits in Exercises 53–66. If a two-sided limit does not exist, describe the one-sided limits.

limx→0f(x),forf(x)=2x+1,ifx≤02x-1,ifx>0

Short Answer

Expert verified

The graph for the given limit

The limit expression does not have any value

Step by step solution

01

Step 1. Given information

The given limitlimx→0f(x),forf(x)=2x+1,ifx≤02x-1,ifx>0

02

Step 2. Sketch graphs by hand and use them to make approximations for the limit

The graph is drawn as below:

From the graph,we see that for the left of x→0the value of the function is 1. again for the right of x→0the value is -1

Therefore the limit expression does not have any value

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