summation of ((8^n)(x^n)(n+1))/(n+2) from n=1 to infinity

Question

Find all the values of x such that the given series would converge.

The Above Equation

The series is convergent
from = ? , left end included (enter Y or N): ?
to = ? , right end included (enter Y or N): ?

Answer 1

Ben,

Please read my previous response. This problem can be solved in exactly the same way. But at |x| = 1/8, the series diverges by nth term test.

Answer: The series converges on (-1/8, 1/8).