# How do you find the limit of #(1)/(x-2)# x as it approaches 2 from the right?

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To find the limit of (1)/(x-2) as x approaches 2 from the right, we substitute the value 2 into the expression. This results in 1/(2-2), which simplifies to 1/0. 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.

- How do you find the limit of #(2 - root3x) / (sqrt(x - 4) - 2)# as x approaches 8?
- How do you find the limit of #x / sqrt(x^2-x)# as x approaches infinity?
- How do you find the limit of #sqrt(4x^2-1) / x^2# as x approaches #oo#?
- How do you evaluate the limit #sin(5x)/sin(6x)# as x approaches #0#?
- What is the limit of #(sin^2x/x^2)# as x approaches infinity?

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