JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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\frac{1}{x+1}+\frac{1}{2(x+1)^2}+\frac{1}{3(x+1)^3}+\ldots \infty=

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Correct option: A

\log _v\left(1+\frac{1}{x}\right)

Option A (

\log _v\left(1+\frac{{1}}{{x}}\right)

) is correct because the given series is a logarithmic series expansion, and simplifying it results in the expression

\log _e\left(1+\frac{{1}}{{x}}\right)

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