Explain why this is no good as a definition of continuity at a point a (either by giving an example of a continuous function that does not satisfy the definition or a discontinuous one that does):(adsbygoogle = window.adsbygoogle || []).push({});

Given ε > 0 there exists a [itex]\delta[/itex] > 0 such that |x – a| < [itex]\epsilon[/itex] [itex]\Rightarrow[/itex] |f(x) – f(a)| < [itex]\delta[/itex]

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# Explain why this is no good as a definition of continuity

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