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JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

The value of is

Answer: (A),(B)

Solution

Rationalise each term:

Missing argument for \frac\frac1{+}==Missing argument for \frac\frac1x[-].

Summing, the terms telescope:

=Missing argument for \frac\frac1x[-Missing argument for \sqrt\sqrt

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Question ID VK-107874