## Problem of the Day #281: Sreenath’s Gift
*December 25, 2011*

*Posted by Alex in : potd , trackback*

For those of you who celebrate it, Merry Christmas!

Sreenath wanted dinosaurs for Christmas. However, he’s been naughty this year, so Santa decided to leave this math problem:

(Help Sreenath evaluateĀ $\displaystyle\prod_{i=2}^{280} \displaystyle\sum_{j=0}^{\infty} i^{-j}$)

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