Discontinuity (Real Analysis)/Examples/Example 3

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.


 * Y-equals-1-over-x-squared-minus-4.png