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

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

Old Node ID: 
1334
Author(s): 
Norman Schaumberger (Bronx Community College)
Publication Date: 
Friday, November 17, 2006
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
November, 1989
Subject(s): 
Algebra and Number Theory
Algebra
Functions
Analysis
Real Analysis
Calculus
Several Variable Calculus
Limits
Numbers and Computation
Arithmetic
Exponents
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
18.00
Rating Sum: 
58.00
Rating Average: 
3.22
Author (old format): 
Norman Schaumberger
Applicable Course(s): 
4.11 Advanced Calc I, II, & Real Analysis
Modify Date: 
Monday, November 20, 2006
Average: 3.2 (18 votes)

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