JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Sum of the series

P=\frac{1}{2 \sqrt{1}+\sqrt{2}}+\frac{1}{3 \sqrt{2}+2 \sqrt{3}}+\ldots+\frac{1}{100 \sqrt{99}+99 \sqrt{100}}

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Correct option: C

9 / 10

Option C (9/10) is correct because the series telescopes, and after simplification, the sum equals 9/10.

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