Infinite Discontinuity
Definition
An infinite discontinuity occurs when either one or both one-sided limits of a function approach positive or negative infinity at a certain point.
Analogy
Think of driving towards an endless horizon. No matter how far you go, you will never reach your destination because it keeps stretching infinitely away from you.
Related terms
Vertical Asymptote: A vertical line on which points get arbitrarily close to but do not touch as they approach positive or negative infinity.
Unbounded Function: A function that does not have any restrictions on its range and can grow without bound.
Jump Discontinuity: A type of discontinuity where there is an abrupt change in values between two distinct points on the graph.
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