Ghany's sum

Calculus Level 5

What is the value of \[ \frac {\sum\limits_{n=1}^{\infty}(2n-1)^{-4}} {\sum\limits_{n=1}^{\infty}(2n)^{-4}} ?\]

This problem is shared by Ghany M. from his math teacher, Dr. Tedy Setiawan.

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