Continuity

==2024-11-17

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Theory

A function $f(x)$ is continuous at an interior point x = c if the following conditions holds.

1. ${\lim }_{x\to c}f(x)$ exists (from both left and right side.)
2. $f(c)$ exists.
3. ${\lim }_{x\to c}f(x)=f(c)$

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PTR