SME
Calculus I · Problem type
Kinds of discontinuity
Use this for “Is the discontinuity of (x² − 4) ÷ (x − 2) at x = 2 removable?”
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What happens to f near the point named?
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Assumptions
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Continuous at a: f(a) exists, the limit at a exists, and the two are equal.
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Removable: the limit exists but f(a) is missing or different. Jump: the one-sided limits differ.
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Infinite: f grows without bound near a (a vertical asymptote).
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