JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

S = \frac{1}{{1 \cdot 2}} - \frac{1}{{2 \cdot 3}} + \frac{1}{{3 \cdot 4}} - \frac{1}{{4 \cdot 5}} + \ldots + \infty ,

then

{e^S}

equals

View answer and explanation

Correct option: B

\frac{4}{e}

Option B (4/e) is correct because the given infinite series can be expressed in terms of the logarithm function, allowing for the calculation of e^S.

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