Definition:Removable Discontinuity
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Definition
Real Functions of One Variable
Let $f$ be a real function which is continuous on some open interval $\left({a..b}\right)$ except at some point $c$ where it has a discontinuity.
If $f$ can be made continuous by defining (or redefining) $f\left({c}\right)$ then the discontinuity at $c$ is said to be removable.
discuss functions of $n$ variables, complex functions
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