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Proof without Words: \(\pi^e < e^{\pi}\)

The author presents a geometric proof of \(\pi^e < e^{\pi}\) by using a suitable function.

Old Node ID: 
2855
Author(s): 
Fouad Nakhli
Publication Date: 
Tuesday, August 12, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
June, 1987
Subject(s): 
Inequalities
Comparison of numbers
Famous Numbers
Topic(s): 
Numbers With Special Forms or Properties
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
11.00
Rating Sum: 
27.00
Rating Average: 
2.45
Author (old format): 
Fouad Nakhli
Applicable Course(s): 
4.1 Introduction to Proofs
4.3 Number Theory
Modify Date: 
Friday, August 24, 2012
Average: 2.5 (11 votes)

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