# How do you find the limit of #x^2-2x# as x approaches 2?

Informally, we can reason as follows.

Therefore,

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To find the limit of x^2-2x as x approaches 2, we can substitute the value of 2 into the expression. Thus, the limit is equal to 2^2 - 2(2), which simplifies to 4 - 4, resulting in a limit of 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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- Given #(sqrtx - 5) / (x - 25)# how do you find the limit as x approaches 25?
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