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JEE Main Mathematics question

MathematicsBinomial TheoremJEE Main

If S=\sum_{n=1}^\infty\left(\frac{{}^nC_0+{}^nC_1+{}^nC_2+\cdots+{}^nC_n}{{}^nP_n}\right), then equals

Answer: (D)

Solution

The numerator is and , so

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Question ID VK-021998