MathAnalysisCalculusLimits

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

Theory

Find a right-hand limit

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Suppose g(x)={5x⩾2−8x<2.g(x) = \begin{cases} 5 \quad& x \geqslant 2 \\ -8 \quad & x < 2.\end{cases}

What is a limit lim⁡x→2+g(x)\lim\limits_{x\to 2+} g(x) equal to?

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