Understanding Continuity in Calculus
Welcome to the world of continuity in calculus! 🧮 Continuity is a fundamental concept that assures us a function behaves nicely on its domain.
Definition of Continuity
A function f(x) is continuous at a point x = a if the following conditions are met:
- f(a) is defined.
- The limit of f(x) as x approaches a exists.
- The limit of f(x) as x approaches a is equal to f(a).
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