JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

The series expansion of

\log \left\{ {{{\left( {1 + x} \right)}^{1 + x}}{{\left( {1 - x} \right)}^{1 - x}}} \right\},

View answer and explanation

Correct option: A

2\left\{ {\frac{{{x^2}}}{{1 \cdot 2}} + \frac{{{x^4}}}{{3 \cdot 4}} + \frac{{{x^6}}}{{5 \cdot 6}} + \ldots } \right\}

Option A (

2\left\{ {\frac{{{x^2}}}{{1 \cdot 2}} + \frac{{{x^4}}}{{3 \cdot 4}} + \frac{{{x^6}}}{{5 \cdot 6}} + \ldots } \right\}

) is correct because it is the series expansion of

\log \left\{ {\left( {1 + x} \right)^{1 + x} {\left( {1 - x} \right)^{1 - x}}} \right\}

after simplification.

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