Removable Discontinuity/Examples/Example 1

Example of Removable Discontinuity

Let $f: \R \to \R$ be the real function defined as:

$\forall x \in \R: \map f x = \dfrac {x^2 - 1} {x - 1}$

Then $f$ has a removable discontinuity at $x = 1$.

In this case the removable discontinuity may be removed by defining $\map f 1$ to equal $2$.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): removable