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Approximating Functions With Polynomials
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The Remainder Term
 

The Taylor Series

 
 

Problems

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