- #1
badtwistoffate
- 81
- 0
Have to find the radius of convergence and interval of convergence,
the series is (3^n x^n ) / (n+1)^2,
did the ratio test and found the radius of convergence to be the 1/3.
now for finding the interval of convergence I plug in -1/3 and 1/3 into x and find out if it converges or not
For 1/3, it converges due to p-series, 2>1.
But for -1/3 I know it converges but can see why? Any help here at this endpoint?
the series is (3^n x^n ) / (n+1)^2,
did the ratio test and found the radius of convergence to be the 1/3.
now for finding the interval of convergence I plug in -1/3 and 1/3 into x and find out if it converges or not
For 1/3, it converges due to p-series, 2>1.
But for -1/3 I know it converges but can see why? Any help here at this endpoint?