Hello,

It's correct. It's better to make it start at n=1. Although it's not a big problem to start at n=0, because the n=0 term is 0.

Same as above. But following your logic, it should have been n=2 hereb) use part (a) to find a power series for f(x)= 1/(1+x)^3

my answer:n =1 to infinity of (-1)^n[n(n-1)x^(n-2)] is this right too R =1

yes (n=2)c) use part (b) to find a power series for f(x)= x^2/(1+x)^3

my answer: n =1 to infinity of (-1)^n[n(n-1)x^(n)] is this right too R =1

is this right too?