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
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
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