# How do you find a vertical asymptote for a rational function?

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To find a vertical asymptote for a rational function, set the denominator of the function equal to zero and solve for the variable. The values obtained will be the vertical asymptotes of the function.

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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 evaluate # (x-7)/(x^2-49)# as x approaches 7?
- How do you find the limit of #(x^2-5x+4)/(x^2-2x-8)# as #x->4#?
- How do you evaluate the limit #(x^3+27)/(x+3)# as x approaches #3#?
- How do you find the Limit of #lnx# as x approaches 0?
- How do you evaluate the limit #(x-1)/(x^2-1)# as x approaches #1#?

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