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JEE Advanced Mathematics question

MathematicsLimitJEE Advanced

, where is a constant and , is equal to

Answer: (D)

Solution

Write

{}^{1/n}=Missing argument for \frac\frac1k(Missing argument for \frac\frac1n·Missing argument for \frac\frac2n·sMissing argument for \frac\frac =Missing argument for \frac\frac1k .

Taking logs:

=Missing argument for \frac\frac1nMissing argument for \frac\frac rn\ \ x dx .

Integrate by parts:

x dx=Missing or unrecognized delimiter for \big\big[x

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Question ID VK-109487