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On the Remainder in the Taylor Theorem

An inductive proof is presented for the bounds of the remainder of Taylor expansion. This result, with Darboux's theorem, implies the classical formula for the remainder.

Old Node ID: 
3800
Author(s): 
Lior Bary-Soroker (Hebrew University. Israel) and Eli Leher (Hebrew University Israel)
Publication Date: 
Tuesday, November 1, 2011
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
November, 2009
Subject(s): 
Calculus
Single Variable Calculus
Series
Topic(s): 
Function Approximation
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
19.00
Rating Sum: 
50.00
Rating Average: 
2.63
Applicable Course(s): 
3.2 Mainstream Calculus II
Modify Date: 
Thursday, August 16, 2012
Average: 2.6 (20 votes)

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