Limit as x approaches 0 √5+x - √5/x

I started working on this problem but...

√5+x - √5/x

(√5+x - √5/x)(√5+x + √5/√5+x + √5)

... I have no idea what to do because there are two radicals in the numerator.

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- May 3rd 2012, 09:05 PMMcdSolving limits with two radicals in the numerator
Limit as x approaches 0 √5+x - √5/x

I started working on this problem but...

√5+x - √5/x

(√5+x - √5/x)(√5+x + √5/√5+x + √5)

... I have no idea what to do because there are two radicals in the numerator. - May 3rd 2012, 09:57 PMpickslidesRe: Solving limits with two radicals in the numerator
Is this your problem?

$\displaystyle \displaystyle \lim_{x \to 0} \sqrt{5}+x-\frac{\sqrt{5}}{x}$

or is it this?

$\displaystyle \displaystyle \lim_{x \to 0} \frac{\sqrt{5}+x-\sqrt{5}}{x}$ - May 3rd 2012, 10:22 PMMcdRe: Solving limits with two radicals in the numerator
It looks like this $\displaystyle \displaystyle \lim_{x \to 0} \frac{\sqrt{5}+x-\sqrt{5}}{x}$ except 5 + x is under one radical sign.