Home > Calculus > Infinite Limits and Vertical Asymptotes

What is a Vertical Asymptote?

Answer 1

A vertical asymptote is a vertical line occurring at #x=c#, where #c# is some real number, if the limit of the function #f(x)# approaches #+-oo# as #x->c# from the left or the right (or from both).

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Answer 2

Luke Alvarez

A vertical asymptote is a vertical line on a graph that the function approaches but never touches or crosses. It occurs when the function approaches positive or negative infinity as the input approaches a certain value.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.