Question

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

Answer 1

There are no asymptotes for this one.

Explanation:

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