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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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2log⁡x−log⁡(x+1)−log⁡(x−1)2\log x - \log \left( {x + 1} \right) - \log \left( {x - 1} \right) is equal to
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Correct option: B
1x2+12  x4+13  x6+…\frac{1}{{{x^2}}} + \frac{1}{{2\;{x^4}}} + \frac{1}{{3\;{x^6}}} + \ldots
Option B (1x2+12  x4+13  x6+…\frac{1}{{{x^2}}} + \frac{1}{{2\;{x^4}}} + \frac{1}{{3\;{x^6}}} + \ldots) is the correct expansion after simplifying the logarithmic expression.

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