Find the sum
\[\sum_{m=1}^{\infty}\sum_{n=1}^{\infty}\frac{m^{2}n}{3^{m}(3^{m}n+3^{n}m)}\]
Secondary,Higher secondary 2010
- asif e elahi
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Re: Secondary,Higher secondary 2010
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
If you have problem finding past HS problems, here is an archive of past problems.
Archive
Here's a post for this problem (although not solved). Ask for a solution there.
BdMO national 2009/11
If you have problem finding past HS problems, here is an archive of past problems.
Archive
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
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
Re: Secondary,Higher secondary 2010
Solutions have been posted for the problem in this link
I also found a nice solution at brilliant.org (requires login)
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
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