JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum of the series

1 + \frac{1}{3}.\frac{1}{4} + \frac{1}{5}.\frac{1}{{{4^2}}} + \frac{1}{7}.\frac{1}{{{4^3}}} + \ldots \infty

View answer and explanation

Correct option: C

{\log _e}3

Option C (

{\log _e}3

) is correct because the given series can be related to the logarithmic series expansion after a suitable substitution.

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