Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Section 3.5 - Derivatives of Trigonometric Functions - Exercises 3.5 - Page 142: 51

Answer

$-1$

Work Step by Step

$\lim_{x\to0}sec[cos(x)+\pi tan\frac{\pi}{4sec(x)}-1]=sec[cos(0)+\pi tan\frac{\pi}{4sec(0)}-1]= sec[1+\pi tan\frac{\pi}{4}-1]=sec[\pi]=-1$
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