JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

y = 2{x^2} - 1,

then

\frac{1}{{{x^2}}} + \frac{1}{{2{x^4}}} + \frac{1}{{3{x^6}}} + \ldots \infty

equals to

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because it is the result of simplifying the given series using logarithmic properties and the given substitution.

More Questions from SEQUENCE OF SERIES

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