Definition:Continuous Real Function/Informal Definition
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Definition
The concept of continuity makes precise the intuitive notion that a function has no "jumps" or "holes" at a given point.
Loosely speaking, a real function $f$ is continuous at a point $p$ if and only if the graph of $f$ does not have a "break" at $p$.
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): continuous function