# What are the removable and non-removable discontinuities, if any, of #f(x)=(x^2 - 3x + 2)/(x^2 - 1) #?

Removable at

Because the limit exists, the discontinuity is removable.

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The function f(x)=(x^2 - 3x + 2)/(x^2 - 1) has a removable discontinuity at x = 1 and non-removable discontinuities at x = -1 and x = 1.

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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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