|
|
In mathematics, a one-sided limit is where the limit of a function is defined in moving in the positive or negative direction, but not both.
For example, consider the function
![f(x) = \left\{ \begin{matrix} 1\ \mbox{if}\ x\isin (-\infty, 1] \ 0\ \mbox{if}\ x\isin (1, \infty) \ \end{matrix}\right.](http://en.wikipedia.org/math/cba0aa1e90e278d3612f1ed1d0872bf9.png) Now, if we take the limit moving from smaller values of x to 1, noted,  but if we take the limit moving from larger values of x to 1, noted,  These two limits are not identical and so f has a one-sided limit at the point x=1.
If these two limits are identical, f is said to have a two-sided limit at that point.
See also: Two-sided limit
|
|
|
Feeds |
Contact