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en.wikipedia.org/wiki/Limit_of_a_function

Although the function (sin x)/x is not defined at zero, as x becomes closer and closer to zero, ... In mathematics, the limit of a function is a fundamental concept in calculus and .... If the limit does not exist then the oscillation of f at p is non-zero .

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.

Aug 7, 2012 ... How to prove that the limit does not exist (KristaKingMath). Krista King .... It helped me explain how to prove if a limit does not exist as you titled it... keep up the great work!﻿ .... Calculus I - Limits - When Does a Limit Exist?

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 ...