diszkontinuitást
Diszkontinuitást, in English often referred to as discontinuity, is a fundamental concept in mathematics, particularly in calculus and analysis. It describes a point or interval where a function fails to be continuous. A function is considered continuous at a point if three conditions are met: the function is defined at that point, the limit of the function exists at that point, and the value of the function at that point is equal to its limit. If any of these conditions are not met, a discontinuity occurs.
There are several types of discontinuities. A removable discontinuity occurs when the limit of the function
Understanding discontinuities is crucial for analyzing function behavior, solving differential equations, and developing many areas of