I was copying some old text and I came across a limit I didn't understand.(adsbygoogle = window.adsbygoogle || []).push({});

It starts as

[tex]\stackrel{Lim}{x\rightarrow0}\frac{\sqrt{x^2+2-1}-x}{x}[/tex]

and then understandably continues until

[tex]\stackrel{Lim}{x\rightarrow0}\frac{x-1}{x*\sqrt{x^2+x-1}+x}=0[/tex]

Why would this be zero? x-1 goes to -1, x goes to zero and anything multiplied by zero is zero. And dividing with zero is a no no...

Sorry for the bad format I'm still trying to get a hang of latex.

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# Homework Help: Quick question on a limit

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