JEE Main 2025 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 8 April 2025, Shift 2, Maths Q6

Question 6 of 75 in this shift, Maths question 6 of 25, Section A.

\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

Official answer

Option 2

NTA final key.