Infinite Discontinuity/Examples/Example 1
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Examples of Infinite Discontinuities
Let $f: \R \to \R$ be the real function defined as:
- $\forall x \in \R: \map f x = \dfrac 1 x$
Then $f$ has an infinite discontinuity at $x = 0$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): discontinuity
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): discontinuity