Determine if this infinite sum ( 2^(2n+1)/[3^(2n+1) * (2n+1)] converges or diverges.?

Determine if (sum from n = 2 to infinity) 2^(2n+1)/[3^(2n+1) * (2n+1)] converges or diverges. If it converges, find the value that it converges to. If it diverges, justify your conclusion. Any help would be much appreciated!! I tried using the ratio test to prove convergence, but that doesn't help me find... show more Determine if (sum from n = 2 to infinity) 2^(2n+1)/[3^(2n+1) * (2n+1)] converges or diverges. If it converges, find the value that it converges to. If it diverges, justify your conclusion.

Any help would be much appreciated!!

I tried using the ratio test to prove convergence, but that doesn't help me find the value that it converges to...
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