Abstract
This chapter introduces the continuity of functions and maps with the limit operator, it also reviews the concept of continuity geometrically and analytically.
Keywords: Bolzano’s theorems, Bolzano-Weierstrass’ theorem, Continuity of a function, Continuity of a function using one-sided limits, Continuity of a function using two-sided limits, Continuity of a map, continuity of a map using one-sided limits, Continuity of a map using two-sided limits, Functions, Intermediate value theorem, Jump discontinuity of a function, Jump discontinuity of a map, Maps, properties of continuity of a function, Properties of continuity of a map, Removable discontinuity of a function, Removable discontinuity of a map, Weierstrass’ theorem over functions, Weierstrass’ theorem over maps.
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