Chapter 2.3, Problem 40E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Prove that

To determine

**To prove:** The value of

Explanation

**Theorem used:**

**The Squeeze Theorem**

“If *x* is near *a* (except possibly at *a*) and

**Limit Laws:**

Suppose that *c* is a constant and the limits

Limit law 3:

Limit law 10: *n* is a positive integer, if *n* is even, assume that

**Proof:**

It is trivial that, the value of

Thus, the limit of the function does not exist.

Apply the Squeeze Theorem and obtain a function *f* smaller than *h* bigger than

Since the sine function lies between

Take the exponential of the inequality,

Any inequality remains true when multiplied by a positive number. Since *x*, multiply each side of the inequalities by

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