# How do you find the limit of #(x^2-9)/(x^2+2x-3)# as x approaches #1^+#?

The ratio is decreasing without bound.

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To find the limit of (x^2-9)/(x^2+2x-3) as x approaches 1^+, we substitute the value 1 into the expression. This gives us (1^2-9)/(1^2+2(1)-3), which simplifies to (-8)/(0). Since division by zero is undefined, the limit 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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- How do you find the limit #lim_(x->2^+)sqrt(2-x)# ?
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- How do you find the limit of #(x^3 - x)/(x-1)^2# as x approaches 1?

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