# What are the asymptote(s) and hole(s), if any, of # f(x) =(sinx+cosx)/(x^3-2x^2+x) #?

##### 1 Answer

May 30, 2018

#### Answer:

#### Explanation:

Factor the denominator:

Since none of the factors can cancel out there are no "holes", set the denominator equal to 0 to solve for the asymptotes:

graph{(sinx+cosx)/(x^3-2x^2+x) [-19.5, 20.5, -2.48, 17.52]}