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Contributions to infinity and continuity concepts

Contributions to infinity and continuity relate to how we understand numbers and functions in mathematics. Infinity refers to something without limits—like counting endlessly or approaching a boundary that can never be reached. Continuity ensures that functions behave smoothly, without sudden jumps; for example, if you draw a line, you can do so without lifting your pencil. These concepts are crucial in calculus, impacting everything from physics to economics, as they help us analyze change and models of real-world phenomena where behaviors are not always straightforward or fully predictable.