What is the value of Limn 1 1 n 2n

GATE | GATE CS 2010 | Question 5

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What is the value of Lim_n->∞(1-1/n)²ⁿ ?

(A)

(B)

e^-2

(C)

e^-1/2

(D)

Answer: (B)

Explanation:

$\lim_{n \to \infty}\left(1 - \frac{1}{n}\right)^{2n}\\ = e^{(-1)*\frac{1}{n}*2n}\\ =e^{-2}$

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Last Updated : 14 Feb, 2018

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