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Monotonicity of Sequences Approximating \(e^x\)

by Eugene Gover (Northeastern University)

This article originally appeared in:
Mathematics Magazine
December, 2010

Subject classification(s): Analysis | Real Analysis
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

How do sequences of the form \((1+x/n)^{n+\alpha}\) with \(x >0\) approach their limits?

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Capsule Course Topic(s):
One-Variable Calculus | Function Approximation
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