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Which one of the following is true? a)(...

Which one of the following is true?
a)`(1+(1)/(n))^(n)ltn^(2),n` is a positive integer
b)`(1+(1)/(n))^(n)lt2,n` is a positive integer
c)`(1+(1)/(n))^(n)ltn^(3),n` is a positive integer
d)`(1+(1)/(n))^(n)ge2,n` is a positive integer

A

`(1+(1)/(n))^(n)ltn^(2),n` is a positive integer

B

`(1+(1)/(n))^(n)lt2,n` is a positive integer

C

`(1+(1)/(n))^(n)ltn^(3),n` is a positive integer

D

`(1+(1)/(n))^(n)ge2,n` is a positive integer

Text Solution

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The correct Answer is:
D
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