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An Elementary Proof of Monotonicity

by Duane W. DeTemple (Washington State University)

This article originally appeared in:
College Mathematics Journal
March, 2005

Subject classification(s): Calculus | Single Variable Calculus
Applicable Course(s): 3.1 Mainstream Calculus I

Easily followed algebra is used to show that two familiar bounding sequences converge to \(e\).

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Capsule Course Topic(s):
Sequences and Series | Approximations: pi, e, natural logarithms
Sequences and Series | Tests For Convergence and Divergence
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