Continuity in mathematics refers to the property of a function or a sequence that states that it remains connected and unbroken over its entire domain or range. A function is considered continuous if it does not have any abrupt changes, jumps, or breaks in its graph. Continuity is an important concept in calculus, differential equations, and other areas of mathematics as it allows for the smooth and consistent behavior of functions. It is also closely related to the concept of limits and is used to analyze the behavior of functions at specific points or over intervals.