   Chapter 11.1, Problem 79E 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 77-88, say whether l’Hospital’s rule applies. If it does, use it to evaluate the given limit. If not use, some other method. lim x → 2 x 3 − 8 x − 2

To determine

To calculate: The value of limx2x38x2 by L’Hospital’s rule if it applies otherwise use some other method.

Explanation

Given information:

The provided limit is limx2x38x2.

Formula used:

If f and g are two differentiable functions such that substituting x=a in the expression f(x)g(x) gives indeterminate form 00 or , then limxaf(x)g(x)=limxaf'(x)g'(x).

Calculation:

Consider the limit, limx2x38x2.

Substitute x=2 in the function x38x2,

(2)38(2)2=8822=00

As, the function is in 00 form. Therefore, L’Hospital’s rule is applicable

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