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** ...

brilliant.org/wiki/when-does-a-limit-exist

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 ...