Power series from 1 to infinity of (n^n)*x^n? I applied the ratio test:

((n+1)^(n+1)x^(n+1))/((n^n)*x^n) = ((n+1)^(n+1)*x)/(n^n) and after taking the limit of n->infinity I got nx which goe s to infinity. I think I messed up, any help? (Rock)

Printable View

- March 12th 2009, 07:31 PMthehollow89Power Series Question
Power series from 1 to infinity of (n^n)*x^n? I applied the ratio test:

((n+1)^(n+1)x^(n+1))/((n^n)*x^n) = ((n+1)^(n+1)*x)/(n^n) and after taking the limit of n->infinity I got nx which goe s to infinity. I think I messed up, any help? (Rock) - March 12th 2009, 08:38 PMSoroban
Hello, thehollow89!

The algebra of the Ratio Test is very tricky . . .

Quote:

We have: .

. . . . . . . . .

. . . . . . . .

. . . . . . . .