A) 5
B) 3
C) 5/2
D) 3/2
Correct Answer: C
Solution :
\[\underset{x\to \infty }{\mathop{\lim }}\,\,\sqrt{x}\,(\sqrt{x+5}-\sqrt{x})\times \frac{(\sqrt{x+5}+\sqrt{x})}{(\sqrt{x+5}+\sqrt{x})}\] \[=\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sqrt{x}\,(5)}{\sqrt{x}\,\left( \sqrt{1+\frac{5}{x}}+1 \right)}=\frac{5}{2}\].
You need to login to perform this action.
You will be redirected in
3 sec
