## anonymous 4 years ago 6th question: Find lim square root of x+4-2 over x, x->0.

1. anonymous

pls help me guys pls :(

2. ash2326

$\lim_{x->0} \frac{\sqrt{x+4}-2}{x}$ is this your question?

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4. anonymous

yes thats my question thanks for your help.

5. ash2326

muiltiply numerator and denominator by $$\sqrt{x+4}+2$$ so we get $\lim_{x->0} \frac{x+4-4}{(\sqrt{x+4}+2)x}$ we get now $\lim_{x->0} \frac{\cancel{x}}{(\sqrt{x+4}+2)\cancel{x}}$ we get finally $\lim_{x->0} \frac{1}{(\sqrt{0+4}+2)}$ we get $\frac{1}{2+2}$ or $\frac{1}{4}$