epäjatkuvuuspisteiden
Epäjatkuvuuspiste, often translated as discontinuity point or singularity, refers to a location in mathematics where a function or a mathematical object fails to be "well-behaved" in some defined sense. This lack of well-behavedness can manifest in various ways depending on the context. For a function, an epäjatkuvuuspiste can be a point where the function is undefined, where its limit does not exist, or where the limit exists but is not equal to the function's value at that point. These are commonly referred to as removable discontinuities, jump discontinuities, and essential discontinuities, respectively.
In calculus, the concept of epäjatkuvuuspiste is fundamental to understanding the behavior of functions. For example,