Obviously [tex] \lim_{x \rightarrow 0} \frac{1}{x^2} = \infty [/tex], but am I correct in saying that the limit as x approaches 0 of [tex] \frac{1}{x^2}[/tex] doesn't exist?(adsbygoogle = window.adsbygoogle || []).push({});

If it did exist then one of the conditions would be, for values of x sufficiently close to 0, [tex]|x-\infty| = \infty < \delta[/tex] which obviously isn't true for all positive values of delta. Am this correct?

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# Simple question about limits

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