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The limit of a function only exists if both one-sided limits approach the same value.


Limits typically fail to exist for one of four reasons, equations and examples and graphs ... When the limit does not exist, as an animated GIF ... More calculus gifs  ...


Some limits do not exist. We'll see 3 examples of when this can happen.


The value x=0 itself is not well defined, since the only possible limit is 0+. ... namely the zone at the left of zero in which the log doesn't exist.


Apr 3, 2012 ... According to some presentations of limits, it is proper to write "limx→01x2=∞." This does not commit one to the existence of an object called ∞.


The first thing we should probably do here is to define just what we mean ... Finally, the normal limit, in this case, will not exist since the two one-sided limits have ...


Jan 20, 2011 ... Limit of a function does not necessarily exists. Possible cases of non-existing limits would be when. at least one of the one-sided limits does not ...

Sep 9, 2012 ... Explanation of when a limit actually exists. Shows ... the question only tells us a function and asks us to determine whether this limit exist or not.


The limit of a function is a fundamental concept in calculus. ... A common situation where the limit of a function does not exist is when the one-sided limits exist ...