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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Last edited by Zocken; Jun 5th 2009 at 09:39 AM.
Originally Posted by Zocken 1. so converges. might want to check me on the simplification of the permutations, not exactly sure on that. I get the following using the ratio test: since the the numerator is a quadratic and the denominator is a cubic
the second one use root test
Hey thanks all for your help. Random Variable: There is a part that i dont understand which is when you went from What happened with the (3n)! and the (2n)!?
Originally Posted by tapiaghector Hey thanks all for your help. Random Variable: There is a part that i dont understand which is when you went from What happened with the (3n)! and the (2n)!? as you can see (2n)! divide (2n)! =1 the same thing to (3n)!
Originally Posted by tapiaghector Hey thanks all for your help. Random Variable: There is a part that i dont understand which is when you went from What happened with the (3n)! and the (2n)!?
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