JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

\lambda=\sum\limits_{{i=1}}^{\infty} \frac{1}{i^4}

, then

\sum\limits_{{i=1}}^{\infty} \frac{1}{(2 i-1)^4}

View answer and explanation

Correct option: D

\frac{15}{16} \lambda

Option D (15/16 λ) is correct because by subtracting the sum of even terms from the total sum, we isolate the sum of odd terms, resulting in 15/16 λ.

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