Question

lim x /
x->∞ sqrt x+1

Answer 1

\[\frac{ x }{ \sqrt{x+1} }\]

Answer 2

Do you know English? No?

Answer 3

so so

Answer 4

do you can help me ??

Answer 5

Do you know which approaches infinity faster? \(x\) or \(\sqrt{x+1}\)
Can you understand me?

Answer 6

lim
x->∞ \[\frac{ x }{ \sqrt{x+1} }\]

Answer 7

understand now ??

Answer 8

@SithsAndGiggles

Answer 9

I understand. i try say something, but hard for us understand

Answer 10

I explained to you how to do this problem last time you asked, but you replied with the same problem again, I'm not sure what exactly you need.

Answer 11

\[\begin{align*}\lim_{x\to\infty}\frac{x}{\sqrt{x+1}}\cdot\frac{\sqrt{x+1}}{\sqrt{x+1}}&=\lim_{x\to\infty}\frac{x\sqrt{x+1}}{x+1}\\
&=\lim_{x\to\infty}\frac{\sqrt{x+1}}{1+\dfrac{1}{x}}\\
&\to\frac{\infty}{1+0}=\infty
\end{align*}\]