Taylor Polynomial Approximations and Error2018-01-03T23:57:30+00:00

Taylor Series Polynomials

1. a) Find the P4 Taylor series for f(x) centered at x = 0 if    Screen Shot 2016-03-02 at 8.14.58 PM

 

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Solution

b) Find approximation at x = ½ and compute the error. Then find the error bounds for the approximation.

 

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Solution

c) Find approximation at x = -½ and compute the error.

 

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Solution

 

2. a) Find the P4 Taylor series for g(x) centered at x = 1 if  g(x) = ln(x)

 

Solution

 

b) Find approximation at x = ½ and compute the error.

 

Solution

 

c) Find approximation at x = 1.5 and compute the error.

 

Solution

 

c) Find approximation at x = 2 and compute the error.

 

Solution