CALCULUS Understanding Its Concepts and Methods
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Monotone convergence theorem
Sequences whose terms increase a1 ≤ a2 ≤ a3 ≤ a4 ≤ · · · and sequences whose terms decrease a1 ≥ a2 ≥ a3 ≥ a4 ≥ · · · are called monotone sequences.
The monotone convergence theorem states that any increasing sequence that is bounded above converges, and that any decreasing sequence that is bounded below 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.