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SparkNotes Math Study Guides Taylor Series Problems
 
Introduction and Summary
 
 
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Approximating Functions With Polynomials
 
 
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The Remainder Term
 
 
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Some Common Taylor Series
 
 
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Differentiation and Integration of Power Series
 
 
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Differentiation and Integration of Power Series
 

The Taylor Series

 
 

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Problem 4.1: Prove that (sin(x)) = cos(x) using the Taylor series of the two functions.
Solution for Problem 4.1
 
Problem 4.2: Prove that 1/(x + 1)dx = log(x + 1) using Taylor series. (The Taylor series for 1/(x + 1) is (- 1)nxn.)
Solution for Problem 4.2
 
 
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Differentiation and Integration of Power Series
 
 
 
 
 
 
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