# How to find the asymptotes of f(x) = (x+3)(x-2)^3  ?

Vertical asymptotes occur mainly where a variable is undefined at a particular value. Since the domain is $\left(- \infty , \infty\right)$, that won't be the case. Horizontal asymptotes occur when the value of the function approaches a fixed number as x approaches $\infty$ and $- \infty$. At huge positive values of x, f(x) will approach $\infty$. The same at large negative values of x. Since the conditions for neither vertical nor horizontal asymptotes are met, there are no asymptotes here.