Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 11 - Section 11.1 - Sequences - 11.1 Exercises - Page 704: 53



Work Step by Step

Given: ${0,1,0,0,1,0,0,0,1,....}$ A sequence converges if and only if $\lim\limits_{n \to \infty}a_n=\lim\limits_{n \to \infty}a_{n+1}$ Since, $\lim\limits_{n \to \infty}a_n\ne\lim\limits_{n \to \infty}a_{n+1}$ Therefore, the given sequence does not converge. Hence, it has no limit and diverges.
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