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Chapter 14: Q. 38 (page 876)

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�2f(x),f(x)=x2ifx鈮�22x-1ifx>2

Short Answer

Expert verified

limit of the given function (at x=2) doesn't exist

Step by step solution

01

Step1. Given information 

The given function limx鈫�2f(x),f(x)=x2ifx鈮�22x-1ifx>2

02

Step2. Calculations of the limit of the function 

To find the limit we have to draw the graph of its


We know that at the limit point as x-factor is near to limit points so that time y tends to a specific value, that specific value is the value of the function at the limit point

According to the question when x is near 2

the first segment of the graph is near 3 but the second segment tends to be 4

The value of both parts of the graph is different at the same value, so on this value limit of the given function doesn't exist

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