JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Hard

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Application +4 | -1

\frac{1}{1^4}+\frac{1}{2^4}+\frac{1}{3^4}+\ldots +\infty=\frac{\pi^4}{90}

, then the value of

\frac{1}{1^4}+\frac{1}{3^4}+\frac{1}{5^4}+\ldots \infty

View answer and explanation

Correct option: A

\frac{\pi^4}{96}

Option A (

\frac{\pi^4}{96}

) is correct because it is the value of the given infinite series after subtracting the even terms and simplifying.

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