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GATE | GATE CS 2010 | Question 5

Last Updated : 14 Feb, 2018
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What is the value of Limn->∞(1-1/n)2n ?
 

(A)

1
 

(B)

e-2
 

(C)

e-1/2
 

(D)

0
 



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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