# How many vertical asymptotes can a graph have?

##### 1 Answer

A graph can have an infinite number of vertical asymptotes.

For example,

#f(x)=1/{(x-1)(x-2)(x-3)cdots(x-n)}#

has n vertical asymptotes; namely,

#x=1# ,#x=2# ,#x=3# , and#x=n# .

(Remark: A graph has at most two horizontal asymptotes.)