Discontinuity (Real Analysis)/Examples/Example 3
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Example of Discontinuity in the context of Real Analysis
Let $f: \R \to \R$ be the real function defined as:
- $\forall x \in \R: \map f x = \dfrac 1 {x^2 - 4}$
Then $f$ has a discontinuity at $x = -2$ and $x = 2$.
These are infinite discontinuities.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): discontinuity: 1.