(b) Use part (a) to find a power series for the following function. 1 f(x)= = (2+x) 112 (-1)" (n + 2)(n+1) 5 27+45 [ 2 (n + 2)(n+1) 1=0) 2+3 8 (-1)" (n+1) nn+2 -1) 1 2010 n=0 132 2(-1)" (n+3) (n + 2)(n+1); n=1 What is the radius of convergence? R= 00 (-1)" (n+2)(n+1); n=0 2n+2 (1) 20 2 2+3