Functions Question 692
Question: $ \underset{x\to \infty }{\mathop{\lim }},{{( 1+\frac{2}{x} )}^{x}}= $
Options:
A) e
B) $ \frac{1}{e} $
C) $ e^{2} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ {{[ \underset{x\to \infty }{\mathop{\lim }},{{( 1+\frac{1}{x/2} )}^{x/2}} ]}^{2}}=e^{2}. $