Süreksizlikler

Süreksizlikler, in the context of mathematics, refers to points where a function is not continuous. A function is considered continuous at a point if it can be drawn without lifting the pen. Therefore, at a point of süreksizlik, this condition is violated. There are several types of süreksizlikler. A removable discontinuity occurs when a function has a "hole" at a certain point, but the limit of the function exists at that point. This type of discontinuity can often be "removed" by defining the function's value at that specific point.

Another type is a jump discontinuity. This happens when the left-hand limit and the right-hand limit of the function at a point exist but are not equal. The graph of the function "jumps" from one value to another at this point. Infinite discontinuities occur when the limit of the function approaches infinity or negative infinity as the input approaches a certain value. This typically happens with functions involving vertical asymptotes. The presence and type of süreksizlikler are important for understanding the behavior of functions and are crucial in areas like calculus and analysis.