   Chapter 10.3, Problem 49E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 21-74, calculate the limit algebraically. If the limit does not exit, say why, lim x → 2 + x − 2 x − 2

To determine

To calculate: The value of limx2+x2x2 algebraically and give reason, if limit does not exist.

Explanation

Given Information:

The provided limit is limx2+x2x2.

Formula used:

Continuity of closed form function theorem:

Every function that is closed is continuous on its domain.

If limxaf(x) exists and f(a) is defined, then

limxaf(x)=f(a)

Calculation:

Consider the limit,

limx2+x2x2

Consider the limit, when x approaches 2+;

The limit can be written as:

limx2+x2x2

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