Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 11 - Infinite Sequences and Series - 11.1 Sequences - 11.1 Exercises - Page 744: 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, so diverges.
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