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May 27, 2024 · Discontinuous development, or discontinuity, refers to a concept in developmental psychology that proposes that development occurs with abrupt shifts or “leaps” (Sternberg & Okagaki, 1989). This theory suggests that individuals may move from one stage of development to another abruptly and without any warning or indications of progressive ...
What is Removable Discontinuity? A removable discontinuity occurs at a point on a function where the function is not defined, yet the limit as we approach that point exists. Mathematically, for a function \(f(x)\) with a removable discontinuity at \(x = a\), we can say: - \(f(a)\) is undefined or does not equal the limit as \(x\) approaches \(a\).
The removable discontinuity of a graph is a point where it has a hole. A function f(x) is has a removable discontinuity at x = a if its limit exists at x = a but it is not equal to f(a). Learn more about removable discontinuity along with examples.
A removable discontinuity, also known as a removable singularity or a removable point, appears when a function has a hole or missing point in its graph. The hole can be filled by modifying or redefining the function at that specific point.
Example of a function with a removable discontinuity at \(x = p\). In this image, the graph has a removable discontinuity (aka. a hole) in it and the function value at \(x=p\) is \(4\) instead of the \(2\) you would need it to be if you wanted the function to be continuous.
A removable discontinuity in mathematics refers to a type of discontinuity in a function where a hole or gap exists at a specific point. This occurs when the function is not defined at that point, but it can be redefined to make the function continuous at that location.
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Nov 21, 2023 · A removable discontinuity is an x-value in a function for which the two one-sided limits are equal and finite but either the function is undefined at c or the limit at c is not equal to f(c).
