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Convergence of Alternating Series · cho.sh

Convergence of Alternating Series

Convergence of Alternating Series

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In Probability,

\sum\limits_{n=1}^{\infty} {(-1)^n a_n}

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n

Check for two things:

$a_k \geq a_{k+1}, ~ \forall k \in \mathbb{Z}$
$\lim_{n \to \infty} a_n = 0$

If both of them are true, then the series converges.

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