JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

0 < y < {2^{1/3}}

and

x\left( {{y^3} - 1} \right) = 1

, then

\frac{2}{x} + \frac{2}{{3{x^3}}} + \frac{2}{{5{x^5}}} + \ldots

is equal to

View answer and explanation

Correct option: A

\log \left( {\frac{{{y^3}}}{{2 - {y^3}}}} \right)

Option A (

\log \left( {\frac{{{y^3}}}{{2 - {y^3}}}} \right)

) is correct because it is derived by substituting

x = \frac{1}{{{y^3} - 1}}

into the given series and simplifying using logarithmic properties.

More Questions from SEQUENCE OF SERIES

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a,x,b

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\log \left(\frac{a}{3 b}\right)

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\frac{3}{4}