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n = 0 i n f ( 1 ) n ( 3 n ) ! / 7 n I'm having trouble on determining whether it's

n=0inf(1)n(3n)!/7n I'm having trouble on determining whether it's a convergence or a divergence. I tried using the Integral Test but it didn't prove anything so I don't think it a valid choice to use this test to verify whether it was a convergence or divergence. Can you show steps and name the test that you used to find its convergence or divergence? Please and thank you.

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