Find the Taylor series for f(x)=x3−2x+1f(x) = x^3 - 2x + 1f(x)=x3−2x+1 centered at a=1a = 1a=1.
0+(x−1)+3(x−1)2+(x−1)30 + (x-1) + 3(x-1)^2 + (x-1)^30+(x−1)+3(x−1)2+(x−1)3
1−2(x−1)+(x−1)31 - 2(x-1) + (x-1)^31−2(x−1)+(x−1)3
1+(x−1)+3(x−1)2+(x−1)31 + (x-1) + 3(x-1)^2 + (x-1)^31+(x−1)+3(x−1)2+(x−1)3
x−1+(x−1)2+3(x−1)3x-1 + (x-1)^2 + 3(x-1)^3x−1+(x−1)2+3(x−1)3