Finite Discontinuity/Examples/Example 1

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