Chapter 2.3, Problem 24E

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8th Edition

James Stewart

ISBN: 9781305270336

Textbook Problem

Evaluate the limit, if it exists.

To determine

**To evaluate:** The limit of the function

Explanation

**Direct substitution property:**

If *f* is a polynomial or a rational function and *a* is in the domain of *f*, then

**Fact 1:**

If

**Evaluation:**

Let

Rewrite the terms of the equation,

**Note 1:**

The direct substitution method is not applicable for the function

**Note 2:**

The Quotient rule is not applicable for the function

**Note 3:**

**“**The limit may be infinite or it may be some finite value when both the numerator and the denominator approach to 0.”

**Calculation:**

By note 3, take the limit *h* approaches 0 but

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