JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The value of

\sum\limits_{{r=1}}^n \frac{1}{\sqrt{a+r x}+\sqrt{a+(r-1) x}} \text { is }

View answer and explanation

Correct option: A

\frac{n}{\sqrt{a}+\sqrt{a+n x}}

Option A (

\frac{n}{\sqrt{a}+\sqrt{a+n x}}

) is correct because, after rationalizing the denominator and summing the terms, the expression simplifies to this result.

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