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Monotonicity of Sequences Approximating \(e^x\)

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

Old Node ID: 
3832
MSC Codes: 
97Ixx
Author(s): 
Eugene Gover (Northeastern University)
Publication Date: 
Thursday, February 16, 2012
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
December, 2010
Subject(s): 
Analysis
Real Analysis
Topic(s): 
Function Approximation
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
58.00
Rating Sum: 
159.00
Rating Average: 
2.74
Applicable Course(s): 
4.11 Advanced Calc I, II, & Real Analysis
Modify Date: 
Thursday, August 16, 2012
Average: 2.7 (59 votes)

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