MathAnalysisCalculusLimits

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

Theory

A left-hand and a right-hand limits

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Suppose g(x)g(x) is some function and lim⁡x→−2+g(x)=3\lim\limits_{x\to -2+} g(x) = 3 and lim⁡x→−2−g(x)=3\lim\limits_{x\to -2-} g(x) =3. What is a limit lim⁡x→−2g(x)\lim\limits_{x\to -2} g(x) equal to?

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