Problem 1 Evaluate

∞

Σ ( 100^n (2n)! / (3n)! )

n=1

Converges or diverges?

And,

Problem 2 Evaluate

∞

Σ [(n^3 + n)/(2n^3 + 5n^2 − 3n + 1)]^(n+1)

n=1

Converges or diverges?

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- Jun 4th 2009, 08:24 PMtapiaghectorHelp testing these series with any root test or ratio test.
Problem 1 Evaluate

∞

Σ ( 100^n (2n)! / (3n)! )

n=1

Converges or diverges?

And,

Problem 2 Evaluate

∞

Σ [(n^3 + n)/(2n^3 + 5n^2 − 3n + 1)]^(n+1)

n=1

Converges or diverges? - Jun 4th 2009, 08:50 PMZocken
nm

- Jun 4th 2009, 09:08 PMRandom Variable
- Jun 4th 2009, 09:17 PMAmer
the second one

use root test

- Jun 4th 2009, 09:18 PMZocken
nm

- Jun 4th 2009, 10:19 PMtapiaghector
Hey thanks all for your help.

Random Variable:

There is a part that i dont understand which is when you went from

http://www.mathhelpforum.com/math-he...a03890f5-1.gif http://www.mathhelpforum.com/math-he...90e29080-1.gif

What happened with the (3n)! and the (2n)!? - Jun 4th 2009, 10:31 PMAmer
- Jun 4th 2009, 10:33 PMRandom Variable