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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 .

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  ...

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.

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

I'll try to give some example. Take the function. f(x)=ln(x). When you're going to compute the limit for x→∞, you see it doesn't exist. You need to ...

www.mathsisfun.com/calculus/limits.html

The limit of (x2−1) (x−1) as x approaches 1 is 2. And it is written in ... But we can say that as we approach 1, the limit is 2. ... And the ordinary limit "does not exist" ...

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

A limit. limx→af(x). exists if and only if it is equal to a number. Note that ∞ is not a number. For example limx→01x2=∞ so it doesn't exist.

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

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

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

Calculus I - Notes ... This is not the exact, precise definition of a limit. If you would like to see the ... Well let's suppose that we know that the limit does in fact exist.

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.physicsforums.com/threads/when-does-a-limit-not-exist.489849

A limit doesn't exist if the function is not continuous at that point. ..... of calculus tools to determine whether a certain limit does or does not exist.