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sum(m=1)^(oo) sum(n=1)^(oo)(m^(2)n)/(3^(...

`sum_(m=1)^(oo) sum_(n=1)^(oo)(m^(2)n)/(3^(m)(n.3^(m)+m.3^(n)))=p/q` (where `p` & `q` are coprime) then:

A

`p+q=41`

B

`pltq`

C

`p` is perfect square

D

`q` is perfect square

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
abc
`2S=sum_(m=1)^(oo) sum_(n=1)^(oo) (m.n).(m.3^(n)+n.3^(n))(n/(3^(m))+m/(3^(n)))`
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