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One-sided limits

In many cases it is more easy to investigate the behaviour of a function when x approaches a given value c from the left or from the right. More precisely:

There is a theorem that highlights the importance of these concepts: img exists if and only if  img and img both exist and are equal.

Consider the following picture.

A function with discontinuities

From the graph wededuce:


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first published on march 26 2002 - last updated on september 01 2003