MathAnalysisCalculusLimits

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

The limit that does not exist

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Which of these limits does not exist?

1) $\lim\limits_{x\to \infty} sin(x^2)$

2) $\lim\limits_{x\to 2} \dfrac{x^2+3x-10}{x^2-4}$

Select one option from the list

they both exist

they both do not exist

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