# Calculate $\underset{x\rightarrow7}{\lim}\frac{\sqrt{x+2}-\sqrt[3]{x+20}}{\sqrt[4]{x+9}-2}$

$$\underset{x\rightarrow7}{\lim}\frac{\sqrt{x+2}-\sqrt[3]{x+20}}{\sqrt[4]{x+9}-2}$$

Here I've tried multiplying by $\sqrt[4]{x+9}+2$ and few other method.

Thanks in advance for solution / hints using simple methods.

Edit

Please don't use l'Hosplital rule. We are before derivatives, don't know how to use it correctly yet. Thanks!

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Why does it seem no one can ever use L'Hôpital? Poor Guillaume... –  David Mitra Jan 11 '13 at 20:04
Because it's just too easy. He's not solving an important problem, he's practicing. Plus he hasn't learned it yet. –  Git Gud Jan 11 '13 at 20:05

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