## anonymous 5 years ago using change of variable: lim h->0 square root of x -2 / square root of x cubed -2

1. anonymous

$\sqrt{x}-2 / \sqrt{x ^{3}} -8$

2. anonymous

sorry wrote the question wrong.

3. anonymous

$\lim_{h \rightarrow 0} (\sqrt{(x-2)/\sqrt{(x^3 -2)}})$

4. anonymous

the question is $\sqrt{x}-2/\sqrt{x ^{3}} -8$

5. anonymous

+/- (1/2)

6. anonymous

$\lim_{x \rightarrow 0}[\sqrt{x-2}/\sqrt{x-2}*\sqrt{x^2+2x+4}]$ $\lim_{x \rightarrow 0}[1/\sqrt{x^2+2x+4}]$ when you plug in the value of x=0 $= 1/\sqrt{4}$ $+/- (1/2)$