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\( \lim_{m \rightarrow \infty} \sum_{k=0}^{m} (k/m)^m = e/(e-1) \)
by Finbarr Holland (University College Cork, Ireland)
This article originally appeared in:Mathematics Magazine
February, 2010
Subject classification(s): Series | Single Variable Calculus | Calculus
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis
Two proofs, one elementary, of the limit in the title are presented.
A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.
To open this file please click here.
These pdf files are furnished by JSTOR.
Capsule Course Topic(s): Sequences and Series | Sequences: General
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