# asymptote help

• September 29th 2012, 08:09 AM
ubhutto
asymptote help
does (x-2) / (2x^2 +3X - 5) have any horizontal asymptote

PS i think its none.
• September 29th 2012, 08:15 AM
MarkFL
Re: asymptote help
What do you find when you evaluate:

$\lim_{x\to\pm\infty}\frac{x-2}{2x^2+3x-5}$ ?
• September 29th 2012, 08:17 AM
ubhutto
Re: asymptote help
limit of positive infinity is 0 and the limit of negative infinity is 0
• September 29th 2012, 08:25 AM
MarkFL
Re: asymptote help
Yes, so that means you have a horizontal asymptote of $y=0$, i.e., the $x$-axis.
• September 29th 2012, 08:27 AM
ubhutto
Re: asymptote help
thanks and if the limit of lets say f(x) is infinity does that mean that there is no horizontal asymptote.
• September 29th 2012, 08:34 AM
MarkFL
Re: asymptote help
Right. In this case there could be an oblique asymptote, but not a horizontal one.