   Chapter 10.3, Problem 72E 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 → − ∞ 4.2 2 − 3 2 x

To determine

To calculate: The value of limx4.2232x algebraically and give reason, if limit does not exist.

Explanation

Given Information:

The limit is limx4.2232x.

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)

The determinate form is as follows:

If k>1, then

k=0

Where, k is any constant.

Calculation:

Consider the limit, limx4.2232x.

Apply continuity of closed form theorem:

limx4

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