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How would I use the epsilon-delta definition to show that the limit $$\lim_{x\to 1}(x^3-5x)\left(2+\cos\left(\frac{1}{x-1}\right)\right)$$ does not exist?

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    $\begingroup$ How epsilon-delta definition shows that a limit does not exist? $\endgroup$ – Nosrati Oct 16 '17 at 2:47

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