Functions Question 20
Question: $ \underset{x\to \infty }{\mathop{\lim }} \sqrt{x}(\sqrt{x+5}-\sqrt{x})= $
Options:
A) 5
B) 3
C) 5/2
D) 3/2
Show Answer
Answer:
Correct Answer: C
Solution:
$ \underset{x\to \infty }{\mathop{\lim }}\sqrt{x} (\sqrt{x+5}-\sqrt{x})\times \frac{(\sqrt{x+5}+\sqrt{x})}{(\sqrt{x+5}+\sqrt{x})} $ $ =\underset{x\to \infty }{\mathop{\lim }} \frac{\sqrt{x} (5)}{\sqrt{x},( \sqrt{1+\frac{5}{x}}+1 )}=\frac{5}{2} $ .
BETA
