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

The Taylor Series

 
 

Problems

 
Problem 1.1: Compute the Taylor series for f (x) = 1/(1 + x).
Solution for Problem 1.1
 
Problem 1.2: What is the Taylor series of a polynomial p(x) = anxn + an-1xn-1 + ... + a0?
Solution for Problem 1.2
 
Problem 1.3: Find the Taylor series for the function g(x) = 1/ about x = 1.
Solution for Problem 1.3
 
 
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The Remainder Term
 
 
 
 
 
 
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