# $\lim_{m \rightarrow \infty} \sum_{k=0}^{m} (k/m)^m$ $= e/(e-1)$

by Finbarr Holland (University College Cork Ireland)

Mathematics Magazine
February, 2010

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

Two proofs, one elementary, of the limit in the title are presented.

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Capsule Course Topic(s):
Sequences and Series | Sequences: General