# What does vertical asymptote mean?

A vertical line

Let us look at the vertical asymptotes of

As we can see in the graph above,

makes

makes

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

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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.

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.

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.

- How do you find the limit of #[(pi)tan(x)-(2x)/(cos(x))]# as x approaches pi/2?
- What is the vertical asymptote for #y=9/(x-1)#?
- How do you find the limit #(cosx-1)/sinx# as #x->0#?
- How do you determine the limit of #cos(x) # as n approaches #oo#?
- How do you evaluate the limit #root3((x-3)/(5-x))# as x approaches #-oo#?

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