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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
The sum of the series 12⋅3+14⋅5+16⋅7+⋯=\frac{1}{2 \cdot 3}+\frac{1}{4 \cdot 5}+\frac{1}{6 \cdot 7}+\cdots=
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Correct option: B
log⁡(e/2)\log (e / 2)
Option B (log⁡(e/2)\log (e / 2)) is correct because the sum of the series can be expressed as a logarithmic function.

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