# What are the removable and non-removable discontinuities, if any, of #f(x)=(x^2+4x+2)/(x^2-2x)#?

The function has non-removable discontinuities at

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The removable discontinuity of f(x) = (x^2+4x+2)/(x^2-2x) occurs at x = 0. There are no non-removable discontinuities.

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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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