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Taylor polynomials

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The problem is from Numerical Methods. Please show each step of your solution and tell me the theorems, definitions, etc. if you use any.

Consider the function f(x)=log(1+x)
a. Write down the Taylor polynomial of degree n...
b. How large must n be in order to approximate log(1.1)...

Please see attached.

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Solution Summary

This shows how to write the Taylor polynomial of a logarithmic function and determine how large the degree must be to approximate a given logarithm.

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