Discontinuity (Real Analysis)/Examples/Example 3

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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


Sources