To find the limit notation for vertical asymptotes, you have to factor the denominator. Set the denominator equal to 0 and solve. You should get your x and you can plug this in to the limit notation.
The limit notation for vertical asymptotes is:
If our x was 1, the limit notation would be 'As x -> 1+, f(x) -> _
As x-> 1-, f(x) -> _.' The + sign means 'from the right side' and the - sign means 'from the left side.' To complete the limit notation, plug in the simplified equation into a graphing calculator and examine the graph. Examine the direction of both the right and left side of the asymptote. If the graph is going down, then f(x) -> -oo. If the graph is going up, then f(x) -> oo. The limit notation displays what direction the graph approaches.
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