JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of the series

\frac{{x - 1}}{{x + 1}} + \frac{1}{2}\frac{{{x^2} - 1}}{{{{\left( {x + 1} \right)}^2}}} + \frac{1}{3}\frac{{{x^3} - 1}}{{{{\left( {x + 1} \right)}^3}}} + \ldots ,

is equal to

View answer and explanation

Correct option: A

{\log _e}x

Option A (

{\log _e}x

) is correct because the given series can be simplified and expressed as the logarithm of x.

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