Question: Construct the Taylor polynomial o f degree n , P n ( x ) , approximating f ( x ) = 1 ( 3 -

Construct the Taylor polynomial of degree n,Pn(x), approximating f(x)=1(3-x)3 around x=2.
Pn(x)=1+3(x-2)+6(x-2)2+cdots+(n+2)(n+1)2(x-2)n
Pn(x)=1-3(x-2)+12(x-2)2+cdots+(-1)n(n+2)(n+1)(x-2)n
Pn(x)=1+3(x-2)+12(x-2)2+cdots+(n+2)!2(x-2)n
Pn(x)=1-3(x-2)+6(x-2)2+cdots+(-1)n(n+2)(n+1)2(x-2)n
Construct the Taylor polynomial o f degree n , P

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