MathAnalysisCalculusLimits

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

Theory

Find a left-hand limit

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Suppose f(x)={10x⩾−81x<−8.f(x) = \begin{cases} 10 \quad& x \geqslant -8 \\ 1 \quad& x < -8.\end{cases} What is a limit lim⁡x→−8−f(x)\lim\limits_{x\to -8-} f(x) equal to?

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