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socratic.org/calculus/limits/determining-when-a-limit-does-not-exist

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

www.mathwarehouse.com/calculus/limits/how-to-determine-when-limits-do-not-exist.php

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  ...

www.rootmath.org/calculus/limits-that-fail-to-exist

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

math.stackexchange.com/questions/1930635/when-do-infinite-limits-not-exist

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.

math.stackexchange.com/questions/127689/why-does-an-infinite-limit-not-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 ∞.

tutorial.math.lamar.edu/Classes/CalcI/InfiniteLimits.aspx

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 ...

www.math.usm.edu/lee/mathphysarchive/?p=176

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 ...