Can you explain what a limit in calculus is?

In calculus, a limit is the value that a function or sequence approaches as the input or index approaches a certain value. It represents the behavior of the function around a particular point and is fundamental to understanding derivatives and integrals. The limit of a function at a point "a" is denoted as: $$ \lim_{{x \to a}} f(x) $$ Understanding limits is crucial for grasping the concept of continuity and the foundational principles of calculus.

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