Numerical Analysis I
Continuous functions are mathematical functions that do not have any abrupt changes in value, meaning that small changes in the input lead to small changes in the output. This property of continuity is crucial for ensuring that numerical integration methods, like those used in approximating areas under curves, yield accurate results. A function is continuous if, for every point in its domain, the limit of the function as it approaches that point equals the function's value at that point.
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