Find the radius of convergence and interval of convergence of the series:
Sum of n(x-4)^n / (n^3+1) with n = 1 to infinity.
can someone help me with this? Thanks!
Hello, xfyz!
I'd use the Ratio Test . . .Find the radius of convergence and interval of convergence of the series:
. .
.
Divide top and bottom of the second fraction by
. .
Take the limit:
. . .
We have: .
. . The radius of convergence is: .
. . The interval of convergence: .