Phrases Exponential Series Previous Year Question Paper and Solution with PDF

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Phrases Exponential Series PYQ

Qus : 1

The value of the series

$\frac{2}{3!}+\frac{4}{5!}+\frac{6}{7!}+\cdots$ is

1
2
3
4
Go to Discussion

Solution

Given the infinite series:

$S = \frac{2}{3!} + \frac{4}{5!} + \frac{6}{7!} + \cdots = \sum_{n=1}^{\infty} \frac{2n}{(2n+1)!}$

This is a known convergent series, and its sum is:

$\boxed{e^{-1}}$

✅ Final Answer: $\boxed{e^{-1}}$

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Phrases Previous Year Questions (PYQs)

Phrases Exponential Series PYQ

Solution

Given the infinite series:

✅ Final Answer: e−1\boxed{e^{-1}}

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✅ Final Answer: $\boxed{e^{-1}}$