Question: Let f(x) = cos x and n N. a) Find the Taylor polynomial P2n: = P2nf,0. b) Prove that if x [-1, 1],

Let f(x) = cos x and n ˆˆ N.
a) Find the Taylor polynomial P2n: = P2nf,0.
b) Prove that if x ˆˆ [-1, 1], then
Let f(x) = cos x and n ˆˆ N.a) Find

c) Find an n so large that P2n approximates COS x on [-1, 1] to seven decimal places.

(2n1)!

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