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Alternating series

An alternating series is a series whose terms alternate between positive and negative.

Alternating series test: If the series

MATH

satisfies

  (i) 0 < an+1 ≤ an for all n

  (ii) limn→ ∞ an = 0

then it converges.


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z


Absolute convergence

Comparison

Divergent series

Integral test

Limit comparison test

p-series

Ratio test


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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