i need to solve this limit(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\lim_{x->\infty}\left ( \sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}\right)

[/tex]

i tried

[tex]

\lim_{x->\infty}\left ( \sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}\right)=\\

\lim_{x->\infty}\left (\frac{\frac{1}{\sqrt{x}}\sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}}{\frac{1}{\sqrt{x}}} \right)

[/tex]

but i get 0/0

??

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# Homework Help: Sqrt limit question

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