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Sequences and Series question

2025 · 8 Apr · Shift 2 · Q28

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JEE Main
Mathematics
Sequences and Series
2025 · 8 Apr · Shift 2 · Q28

Sequences and Series question

2025 · 8 Apr · Shift 2 · Q28

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

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 :

A
23
B
14
C
18
D
15

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