Secondary,Higher secondary 2010

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
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asif e elahi
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Secondary,Higher secondary 2010

Unread post by asif e elahi » Thu Jan 16, 2014 7:41 pm

Find the sum
\[\sum_{m=1}^{\infty}\sum_{n=1}^{\infty}\frac{m^{2}n}{3^{m}(3^{m}n+3^{n}m)}\]

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Labib
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Location:Dhaka, Bangladesh.

Re: Secondary,Higher secondary 2010

Unread post by Labib » Wed Jan 22, 2014 9:13 pm

Please check if a problem has been posted earlier.
Here's a post for this problem (although not solved). Ask for a solution there.
BdMO national 2009/11
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Archive
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Labib
Posts:411
Joined:Thu Dec 09, 2010 10:58 pm
Location:Dhaka, Bangladesh.

Re: Secondary,Higher secondary 2010

Unread post by Labib » Thu Jan 23, 2014 4:17 pm

Solutions have been posted for the problem in this link
I also found a nice solution at brilliant.org (requires login)
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.


"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes

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