How to find a vertical asymptote?

Answer 1

Let's consider that we have a rational function : ƒ(x) = (ax^m)/(bxⁿ) then you can determine the vertical asymptote based on below criteria

1. if m > n then no vertical asymptote
2. if m = n then no vertical asymptote
3. if m < n then
4. for ƒ(x) = (ax^m)/(bxⁿ) , vertical asymptote : x = 0
5. ƒ(x) = (x^m)/((x-d)ⁿ) , vertical asymptote : "x - d = 0" or "x = d"