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A Generalization of \(\lim_{n \rightarrow \infty} \sqrt [n]{n!}/n = e^{-1}\)

by Norman Schaumberger (Bronx Community College)

This article originally appeared in:
College Mathematics Journal
November, 1989

Subject classification(s): Algebra and Number Theory | Algebra | Functions | Analysis | Real Analysis | Calculus | Several Variable Calculus | Limits | Numbers and Computation | Arithmetic | Exponents
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

Use of the Mean Value Theorem to prove a generalization of the limit definition of \(e\)

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