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JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

is equal to

Answer: (B)

Solution

Partial fractions: . Therefore

sum = Missing argument for \frac\frac12 - Missing argument for \frac\frac13 + Missing argument for \frac\frac14 - Missing argument for \frac\frac15 + =

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Question ID VK-108414