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Question

Mathematics Question on Limits

The Value of limn[21(32)2(43)3.....(n+1n)n]1nislim_{n\rightarrow \infty }\bigg[\frac{2}{1}\bigg(\frac{3}{2}\bigg)^2\bigg(\frac{4}{3}\bigg)^3.....\bigg(\frac{n+1}{n}\bigg)^n\bigg]^{\frac{1}{n}}is

A

1

B

0

C

e

D

1e\frac{1}{e}

Answer

e

Explanation

Solution

The correct option is (C): e