I'm just working through some differentiability questions and have a quick question - are functions continuous at a cusp or corner? I know that functions are not differentiable at cusps or corners because you cannot draw a unique tangent at these points, but I'm not sure about continuity. From my understanding, a function is continuous if at point a if(adsbygoogle = window.adsbygoogle || []).push({});

1. The limit as x approaches a exists

2. f(a) exists or is defined

3. the limit of x approaching a = f(a)

Can you define the function at a cusp or corner and thus have a continuous function?

Thanks!

Rozy

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# Homework Help: Simple Question about Continuity

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