Functions Question 685

Question: $ \underset{n\to \infty }{\mathop{\lim }},\frac{\sqrt{n}}{\sqrt{n}+\sqrt{n+1}}= $

Options:

A) 1

B) 1/2

C) 0

D) $ \infty $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \underset{n\to \infty }{\mathop{\lim }}\frac{1}{1+\sqrt{1+\frac{1}{n}}}=\frac{1}{2} $ .