   Chapter 10.3, Problem 33E 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 h → 0 h 2 h + h 2 [HINT: See Example 1(b).]

To determine

To calculate: The value of limh0h2h+h2 algebraically and give reason, if limit does not exist.

Explanation

Given Information:

The provided limit is limh0h2h+h2.

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,

limh0h2h+h2

Now, h2h+h2 is a closed-form function, but h=0 does not lie within its domain.

So, continuity of closed form theorem cannot be applied

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