1. ## Asymptotes

What are the horizontal and vertical asymptotes for

x+5/2x-4

the vertical asymptote is $\displaystyle 2x-4 = 0 \Rightarrow x=2;$
horizontal asymptote is $\displaystyle \lim_{x\to\infty}{\frac{x+5}{2x-4}}=\frac{1}{2}$