# How do you find the limit of #(x-3) /( x-4)# as x approaches #4^-#?

So:

since it is the quotient of a positive numerator and negative denominator.

graph{(x-3)/(x-4) [-7.88, 12.12, -4.16, 5.84]}

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To find the limit of (x-3)/(x-4) as x approaches 4^-, we substitute the value 4 into the expression. However, since the denominator becomes zero when x is 4, we need to approach the value from the left side.

By substituting x = 4 into the expression, we get (4-3)/(4-4) = 1/0, which is undefined. Therefore, the limit of (x-3)/(x-4) as x approaches 4^- does not exist.

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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.

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