   Chapter 4.4, Problem 50E ### 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 → ( π / 2 ) − cos x sec 5 x

To determine

To evaluate: The value of limxπ2cosxsec5x .

Explanation

Express given function as, limxπ2cosxsec5x=limxπ2cosxcos5x .

Obtain the value of the function as x approaches (π2) .

As x approaches (π2) , the numerator cosx approaches to 0 and denominator cos5x also approaches to 0 .

Thus, limxπ2cosxsec5x=00 is in an indeterminate form

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