Finite Discontinuity/Examples/Example 1
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Example of Finite Discontinuity
Let $f: \R \to \R$ be the real function defined as:
- $\forall x \in \R: \map f x = \map \cos {\dfrac 1 x}$
Then $f$ has a finite discontinuity at $x = 0$ which is non-removable.
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