# What are the removable and non-removable discontinuities, if any, of #f(x)=(x^2-100) / (x+10) #?

The only discontinuity is at

Rational functions are continuous on their domains.

The limit exists, so the discontinuity is removable.

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The removable discontinuity of f(x) = (x^2-100) / (x+10) is at x = -10. 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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