Σ √n X (x-1)^(n)
let the series Σ An be a series with positive terms and lim as n ---> infinity is an+1 / an = finite number
the series converges if r < 1
the series diverges if r > 1 or r is infinite
the test is inconclusive if r = 1.
The Attempt at a Solution
So far I've tried the Ratio test (can't figure out how to not get an indeterminate form of anyhthing less than infinity multiplied by zero)
Then the root test, I'm not even sure where to begin once I divide the n's by n.