Question

Evaluate the limit

lim
x->0
(x+8)^(1/3) -2
___________
x

Answer 1

This?
\[\lim_{x \rightarrow 0} \frac{(x+8)^{1/3}-2}{x}\]

Answer 2

Yes i was just going to type that, sorry.
I've been reviewing limits and I keep screwing this one up.

Answer 3

You can use l'hospital's rule

Answer 4

\[\lim_{x \rightarrow 0} \frac{(x+8)^{1/3}-2}{x} APPLY L'HOSPITAL RULE.. \lim_{x \rightarrow 0} \frac{1/3(x+8)^{-2/3}}{1} =1/12 \]

Answer 5

until now I had never heard of l'hostpital's rule. But I just wiki'd it. Interesting. Thank you guys! Much appreciated :)