JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum of series

\frac{1}{{1.2}} - \frac{1}{{2.3}} + \frac{1}{{3.4}} - \ldots \infty

is equal to

View answer and explanation

Correct option: D

{\log _e}\left( {\frac{4}{e}} \right)

Option D (

{\log _e}\left( {\frac{4}{e}} \right)

) is correct because the sum of the given series can be simplified to this logarithmic expression.

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