Question

using change of variable:

lim
h->0 square root of x -2 / square root of x cubed -2

Answer 1

\[\sqrt{x}-2 / \sqrt{x ^{3}} -8\]

Answer 2

sorry wrote the question wrong.

Answer 3

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

Answer 4

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

Answer 5

+/- (1/2)

Answer 6

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