# What is Nth Term Test for Divergence of an infinite series?

Nth Term Test (also called Divergence Test)

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The Nth Term Test for Divergence states that if the Nth term of an infinite series does not approach zero as n approaches infinity, then the series diverges. In other words, if lim(n→∞) an ≠ 0, then the series Σan diverges. However, if lim(n→∞) an = 0, it does not necessarily mean that the series converges; further tests are needed to determine convergence.

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