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**L'Hopital's Rule - I'm loosing my hair!!**

Ok, I have the following:

Lim x->0 sqrt(4-x^2) -2 /x

After I change the equation to remove the radicle, I get:

Lim x->0 ((4-x^2)^1/2 - 2)/x

but when I apply the rule the, I'm loosing it :surprised I thought I should get:

1/2 ((4-x^2)^-1/2 times 2x)/1

What am I doing wrong???