hi

need help to see if i am doing this right.

i have the series

E (-1)^n+1 (x-1)^n / 5n

i have to find the interval of convergence for f(x), f'(x), F"(x), and the intergral of f.

i got the interval of convergence for f(x) but not sure its right. -9<x<11

for f'(x) i have

E (-1)^n+1 n(x-1)^n-1 / 5n

which equals (1/5)(x-1)<1

which equals -6<x<6

well im not sure im doing this right so yeah any help?