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Determine convergence or divergence for the following series. State the tests used and justify your answers.

Sum (infinity, n=1) 1/(1+e^-n)

Sum (infinity, n=1) (2*4*6...2n)/n!

Sum (infinity, n=0) (n-6)/n

Sum (infinity, n=0) (n-6)/n!

Sum (infinity, n=0) (100n^14)/4^n

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