Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 11 - Infinite Series - Chapter Review Exercises - Page 591: 7

Answer

The limit does not exit.

Work Step by Step

We have to compute the limit of the absolute value as follows $$ \lim _{n \rightarrow \infty}| (-1)^na_n|= \lim _{n \rightarrow \infty}a_n =2\neq 0. $$Since the limit of the absolute value is non-zero, then the limit does not exit.
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