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JEE Math Practice Question

If $ \frac{1}{1^4} + \frac{1}{2^4} + \frac{1}{3^4} + \ldots \infty= \frac{\pi^4}{90} $, $\frac{1}{1^4} + \frac{1}{3^4} + \frac{1}{5^4} + \ldots \infty= \alpha $, $ \frac{1}{2^4} + \frac{1}{4^4} + \frac{1}{6^4} + \ldots \infty= \beta $, then $ \frac{\alpha}{\beta} $ is equal to :

  1. A.23
  2. B.14
  3. C.18
  4. D.15

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