Answer
$\sqrt 2$
Work Step by Step
$\lim_{x\to-\pi/6}\sqrt {1+cos(\pi csc(x))}=\sqrt {1+cos(\pi csc(-\pi/6))}=\sqrt {1+cos(\pi(-2))}=\sqrt {1+cos(2\pi)}=\sqrt 2$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
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: 48
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