# Chapter 11 - Infinite Sequences and Series - Review - True-False Quiz: 1

FALSE

#### Work Step by Step

'Test for Divergence' Theorem states that if $\lim\limits_{n \to \infty}a_{n}$ does not exist or does not equal to zero then the series is divergent. If a series is convergent the limit is always zero. But it does not necessarily mean that if the limit of a series is zero that it is convergent. Hence, the statement is false.

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