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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
 
 
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Differentiation and Integration of Power Series
 
 
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The Taylor Series

 
 

Problems

 
Problem 2.1: Approximate e0.1 to within 10-3 using Taylor's formula.
Solution for Problem 2.1
 
Problem 2.2: Approximate sin(- 0.1) to within 10-5. The Taylor series for sin(x) begins

x - + - + ...    

Solution for Problem 2.2
 
 
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