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

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): ?

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1 Answer


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).