Jump Discontinuity/Examples/Example 1

Example of Jump Discontinuity
Let $f: \R \to \R$ be the real function defined as:
 * $\forall x \in \R: \map f x = \begin {cases} 1 & : x < 2 \\ 2 & : x \ge 2 \end {cases}$

Then $f$ has a jump discontinuity at $x = 2$.

In this case, $\map f 2$ is defined, and equals the limit from the right.


 * Jump-discontinuity-at-2.png