MathAnalysisCalculusLimits

One-sided limits and the non-existence of a limit

One-sided limits

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Suppose there exist one-sided limits $\lim\limits_{x\to a+} f(x) = A$ and $\lim\limits_{x\to a-} f(x) = B$ . Does the limit $\lim\limits_{x\to a} f(x)$ exist?

Select one option from the list

Yes, if

A = B

Yes, if

A \ne B

No, this limit does not exist.

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