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One-sided LimitIn 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 -
\left\{ \begin{matrix} 1\ \mbox{if}\ x\isin (-\infty, 1] \\ 0\ \mbox{if}\ x\isin (1, \infty) \\ \end{matrix}\right. 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
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