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At what stage did the continuous elementary function learn?
"The operation of continuous function and the continuity of elementary function" will be studied in college advanced mathematics.

The continuity of function describes a state of continuous change of function, that is, a small change of independent variables will only cause a small change of function value.

To be exact, the continuity of a function at a certain point means that when the independent variable approaches that point, the limit of the function value is consistent with the value taken by the function at that point.