Continuity at a point means that both the limit and value of the function exist and are equal at that specific point.
A function for which every small change in input results in only a small change in output, without any sudden jumps or breaks.
Discontinuous Function: A function that has one or more points where it is not continuous.
A theorem that states if a function is continuous on a closed interval, then it takes on every value between the values of the endpoints.