JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum to 10 terms of the series

\frac{1}{1+1^{2}+1^{4}}+\frac{2}{1+2^{2}+2^{4}}+\frac{3}{1+3^{2}+3^{4}}+\ldots

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Correct option: C

\frac{55}{111}

The correct answer is C (

\frac{55}{111}

) because the sum to 10 terms of the given series is correctly calculated using telescoping series method.

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