1. ## asymptote help

does (x-2) / (2x^2 +3X - 5) have any horizontal asymptote

PS i think its none.

2. ## Re: asymptote help

What do you find when you evaluate:

$\displaystyle \lim_{x\to\pm\infty}\frac{x-2}{2x^2+3x-5}$ ?

3. ## Re: asymptote help

limit of positive infinity is 0 and the limit of negative infinity is 0

4. ## Re: asymptote help

Yes, so that means you have a horizontal asymptote of $\displaystyle y=0$, i.e., the $\displaystyle x$-axis.

5. ## Re: asymptote help

thanks and if the limit of lets say f(x) is infinity does that mean that there is no horizontal asymptote.

6. ## Re: asymptote help

Right. In this case there could be an oblique asymptote, but not a horizontal one.