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?