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Approaching \(\ln x\)

 

The integral \(\int_{1}^{x} t^{-1+1/n} dt\) is shown to converge to \(\ln x\).

Old Node ID: 
1468
Author(s): 
James V. Peters (Long Island University)
Publication Date: 
Monday, March 12, 2007
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
March, 2005
Subject(s): 
Calculus
Single Variable Calculus
Topic(s): 
Infinite Limits: Function Values and Integrals
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
17.00
Rating Sum: 
46.00
Rating Average: 
2.71
Author (old format): 
James V. Peters
Applicable Course(s): 
3.1 Mainstream Calculus I
Modify Date: 
Thursday, August 16, 2012
Average: 2.7 (17 votes)

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