   Chapter 4.4, Problem 10E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why. lim x →   − 2 x 3 + 8 x + 2

To determine

To evaluate: The value of limx2x3+8x+2 .

Explanation

The value of limit function can be easily obtained by simplifying the terms. Thus, it is not necessary to use L’Hospital’s rule.

Factorise x3+8 .

x3+8=x3+23=(x+2)(x22x+(2)2)=(x+2)(x22x+4)

Thus, the value of the limit is obtained as follows

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