JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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2\left\{ {\frac{{m - n}}{{m + n}} + \frac{1}{3}{{\left( {\frac{{m - n}}{{m + n}}} \right)}^3} + \frac{1}{5}{{\left( {\frac{{m - n}}{{m + n}}} \right)}^5} + \ldots } \right\}\;

is equal to

View answer and explanation

Correct option: A

\log \left( {\frac{m}{n}} \right)

Option A (

\log \left( {\frac{m}{n}} \right)

) is correct because the given expression is the expansion of

\log \left( {\frac{m}{n}} \right)

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