# How do you find all the asymptotes for function #f(x) = (3)/(5x)#?

##### 1 Answer

Jun 10, 2015

#### Answer:

#lim_(x->0)(3/(5x))=oo# So there is a vertical asymptote in#x=0# .#lim_(x->oo)(3/(5x))=0# So there is a horizontal asymptote in#y=0# .- No oblique asymptotes.

#### Explanation:

How do we find asymptotes of f(x)?

- **Vertical Asymptotes**

- **Horizontal Asymptotes**

- **Oblique Asymptotes**

Let's verify the solutions found in this case:

graph{3/(5x) [-10, 10, -5, 5]}