Binomial Theorem And Its Simple Applications Question 65
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
Show Answer
Answer:
Correct Answer: D
Solution:
- [d] Put $ n=1,{{( 1+\frac{1}{1} )}^{1}}=2 $
$ \therefore {{( 1+\frac{1}{n} )}^{n}}>2, $ n is a positive integer.
BETA
