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lim-x-0-cosx-x-




Question Number 111397 by Khalmohmmad last updated on 03/Sep/20
lim_(x→0) ((cosx)/x)=?
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{cosx}}{\mathrm{x}}=? \\ $$
Commented by kaivan.ahmadi last updated on 03/Sep/20
lim_(x→0^+ )  ((cosx)/x)=(1/0^+ )=+∞  lim_(x→0^− )  ((cosx)/x)=(1/0^− )=−∞  does not exist
$${lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\frac{{cosx}}{{x}}=\frac{\mathrm{1}}{\mathrm{0}^{+} }=+\infty \\ $$$${lim}_{{x}\rightarrow\mathrm{0}^{−} } \:\frac{{cosx}}{{x}}=\frac{\mathrm{1}}{\mathrm{0}^{−} }=−\infty \\ $$$${does}\:{not}\:{exist} \\ $$
Commented by Khalmohmmad last updated on 03/Sep/20
Thank
$$\mathrm{Thank} \\ $$
Answered by bemath last updated on 03/Sep/20
does not exist
$$\mathrm{does}\:\mathrm{not}\:\mathrm{exist} \\ $$$$ \\ $$
Commented by Khalmohmmad last updated on 03/Sep/20
Thank
$$\mathrm{Thank} \\ $$

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