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

1 Answer
Jul 18, 2018

There are no asymptotes for this one.


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.