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Does #sum_1^oo [3/n(n+4)] - [(2^(2n)/7^n+1)]# converge?

1 Answer

A. S. Adikesavan

Sep 30, 2016

Diverges.

Explanation:

Rearranging, the infinite seris is

#sum (3 -1) + 12 sum 1/n -sum (4/7)^n#

#=oo+oo -ln(1-4/7)#

#=oo#

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