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Problem of the Day #131: A Rather Large Sum July 28, 2011

Posted by Saketh in : potd , trackback

Evaluate

$$ \Large{ \displaystyle\sum\limits_{x=1}^{2011^2} \;\;\; \displaystyle\sum\limits_{a=1}^{x} \frac{2x}{{x}^{\frac{2a}{x+1}}+x} } $$

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