Question: Let f(x) = log x and n N. a) Find the Taylor polynomial Pn := pnf,1. b) Prove that if x [1, 2],

Let f(x) = log x and n ˆˆ N.
a) Find the Taylor polynomial Pn := pnf,1.
b) Prove that if x ˆˆ [1, 2], then
Let f(x) = log x and n ˆˆ N.a) Find

c) Find an n so large that Pn approximates log x on [1, 2] to three decimal places.

| log x-pn (x) | n + 1

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