Let f ( x ) = e x x 2 {\displaystyle f(x)={\frac {e^{x}}{x^{2}}}} . Find the horizontal asymptote and the vertical asymptote of f ( x ) {\displaystyle f(x)} . Note that lim x → ∞ e x x = ∞ {\displaystyle \lim _{x\rightarrow \infty }{\frac {e^{x}}{x}}=\infty } .
