Binomial-Theorem-And-Its-Simple-Applications Question 225
Question: Which one of the following is true?
Options:
A) $ {{( 1+\frac{1}{n} )}^{n}}<n^{2},n $ is a positive integer
B) $ {{( 1+\frac{1}{n} )}^{n}}<2,n $ is a positive integer
C) $ {{( 1+\frac{1}{n} )}^{n}}<n^{3},n $ is a positive integer
D) $ {{( 1+\frac{1}{n} )}^{n}}>2,n $ is a positive integer
Correct Answer: D
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Answer:
Solution:
$ \therefore {{( 1+\frac{1}{n} )}^{n}}>2, $ n is a positive integer.
BETA
