(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

lim as x approached 2 from above of:

(x^{1/2}- 2^{1/2}+ (x - 2)^{1/2})/(x^{2}- 4)^{1/2}

2. Relevant equations

L'Hopitals rule...

3. The attempt at a solution

I tried susbtituting in 2 and found that I got 0/0 thus it was possible to use L'hopitals. I then got inf/inf, so I used it again, but now I keep getting inf/inf. So what do I do? I'm stumped. I tried factorising but the + and - signs prevented me.

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# Lim of this function using L'Hopitals rule multiple times

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