Can I just separate them?

Calculus Level 2

Find:. \[ \large \left( \frac1{1^2} + \frac1{3^2} + \frac1{5^2} + \ldots \right) \div \left( \frac1{2^2} + \frac1{4^2} + \frac1{6^2} + \ldots \right) \]

Given that \( \displaystyle \sum_{m=1}^\infty \frac1{m^2} = 1 + \frac1{2^2} + \frac1{3^2} + \ldots = \frac{\pi^2}6 \).. Please reshare if you like this problem. Try this also.

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