Discontinuity (Real Analysis)/Examples/Example 1

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Example of Discontinuity in the context of Real Analysis

Let $f: \R \to \R$ be the real function defined as:

$\forall x \in \R: \map f x = \dfrac 1 {1 - x}$

Then $f$ has a discontinuity at $x = 1$, as $f$ is not defined there.


1-over-1-x.png

Sources