# How do you determine the limit of #(2)/(x-3)# as x approaches #3^-#??

The expression

See comments below.

Recall the definition of a limit:

Similarly is defined the limit of positive infinity.

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To determine the limit of (2)/(x-3) as x approaches 3^-, we substitute the value of x into the expression. Plugging in x = 3^- gives us (2)/(3^- - 3). Simplifying further, we get (2)/(-∞), which equals 0. Therefore, the limit of (2)/(x-3) as x approaches 3^- is 0.

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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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