What is contunity in differential calculus?

Answer 1

A function is continuous (has continuity) when it can be drawn in one motion without lifting the pencil. This means no holes, steps, or jumps. At a point, the limit of the point must be defined and exist at the same point (no holes or points above/below the line). At an endpoint, a function is continuous if the limit coming from the left/right is the same as the x value of the endpoint.