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.
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
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): discontinuity