CALCULUS Understanding
Its Concepts and Methods
CALCULUS Understanding
Its Concepts and Methods
Alternating series
An alternating series is a series whose terms alternate between positive and negative.
Alternating series test: If the series
satisfies
(i) 0 < an+1 ≤ an for all n
(ii) limn→ ∞ an = 0
then it converges.
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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.