lim-x-0-1-x-2-should-the-answer-be-or-is-it-DNE-my-main-question-is-when-lim-x-a-f-x-does-it-not-exist-is-it-DNE-

Question Number 152211 by nitu last updated on 26/Aug/21

\lim_{x \to 0} \frac{1}{x^{2}}

should the answer be \infty or is it DNE .

my main question is,

when,

\lim_{x \to a} f (x) = \infty

does it not exist ? is it DNE ?

Commented by MJS_new last updated on 26/Aug/21

\lim_{x \to 0} \frac{1}{x} does not exist because \lim_{x \to 0^{-}} \frac{1}{x} \neq \lim_{x \to 0^{+}} \frac{1}{x}

\lim_{x \to 0} \frac{1}{x^{2}} = + \infty

obviously {there}^{'} s a difference \dots

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