What does continuous mean in maths?

In mathematics, "continuous" refers to a property of functions or sets where there are no interruptions, breaks, or gaps. A function is continuous if, for any point in its domain, small changes in the input result in small changes in the output. This means that the graph of a continuous function can be drawn without lifting the pencil from the paper. Mathematically, a function ( f(x) ) is continuous at a point ( c ) if the limit of ( f(x) ) as ( x ) approaches ( c ) equals ( f(c) ).