Essential Discontinuity
Definition
An essential discontinuity occurs when there is no limit for the value of a function as it approaches a particular point, resulting in either infinite or undefined behavior.
Analogy
Imagine trying to divide something into smaller and smaller pieces, but you keep getting infinitely smaller pieces without ever reaching zero size.
Related terms
Infinite Limit: When the limit of a function goes towards positive or negative infinity.
Indeterminate Form/Expression: An expression that cannot be evaluated because it does not have enough information.
Rational Function: A function that can be expressed as the ratio of two polynomials.
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