# Math Help - [SOLVED] Asymptote

1. ## [SOLVED] Asymptote

X^4-2x^3
----------
X-2

label the points of asymptote

2. $\frac{x^4 -2x^3}{x-2}$ = $\frac{x^3(x-2)}{x-2}$ = $x^3$

It doesn't have an asymptote

3. does making the limit x-->2 change that fact?

im just asking because the problem says to mark the asymptotes

4. No it just means that there is a 'hole' at x = 2.

Taking the limit as x approaches 2 would tell you what value would be at this 'hole'.

5. Nope try graphing it and see that it has no asymptote. It always a good to see things graphically as well as algebrically.

$\lim_{x \to 2} \frac{x^3(x-2)}{x-2}= 8$