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lim-x-0-cosx-x-

Question Number 111397 by Khalmohmmad last updated on 03/Sep/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{cosx}}{\mathrm{x}}=? \\ $$ Commented by kaivan.ahmadi last updated on 03/Sep/20 $${lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\frac{{cosx}}{{x}}=\frac{\mathrm{1}}{\mathrm{0}^{+} }=+\infty \\…

Question-176915

Question Number 176915 by thean last updated on 28/Sep/22 Answered by cortano1 last updated on 28/Sep/22 $$\:−\mathrm{1}\leqslant\:\mathrm{sin}\:\mathrm{x}\leqslant\mathrm{1} \\ $$$$\:−\mathrm{1}\:\leqslant\:\mathrm{sin}\:\mathrm{x}\:\leqslant\mathrm{1} \\ $$$$\:−\frac{\mathrm{x}+\mathrm{1}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\:\leqslant\:\frac{\left(\mathrm{x}+\mathrm{1}\right)\mathrm{sin}\:\mathrm{x}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\:\leqslant\frac{\mathrm{x}+\mathrm{1}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}} \\…

Question-111374

Question Number 111374 by mathdave last updated on 03/Sep/20 Commented by kaivan.ahmadi last updated on 03/Sep/20 $$={log}_{\sqrt{\mathrm{3}}} \left(\sqrt{\mathrm{14}}−\sqrt{\mathrm{5}}\right)+{log}_{\sqrt{\mathrm{3}}} \left(\sqrt{\mathrm{14}}+\sqrt{\mathrm{5}}\right)= \\ $$$${log}_{\sqrt{\mathrm{3}}} \left(\sqrt{\mathrm{14}}−\sqrt{\mathrm{5}}\right)\left(\sqrt{\mathrm{14}}+\sqrt{\mathrm{5}}\right)={log}_{\sqrt{\mathrm{3}}} \left(\mathrm{14}−\mathrm{5}\right)= \\ $$$${log}_{\sqrt{\mathrm{3}}}…

18-5x-3-309-

Question Number 45811 by gunay last updated on 17/Oct/18 $$\left(\mathrm{18}+\mathrm{5x}\right)×\mathrm{3}=\mathrm{309} \\ $$ Answered by Rauny last updated on 17/Oct/18 $$\mathrm{3}\left(\mathrm{18}+\mathrm{5}{x}\right)=\mathrm{309} \\ $$$$\mathrm{18}+\mathrm{5}{x}=\mathrm{103} \\ $$$$\mathrm{5}{x}=\mathrm{103}−\mathrm{18}=\mathrm{85} \\…

18-5x-3-309-

Question Number 45789 by gunay last updated on 16/Oct/18 $$ \\ $$$$\left(\mathrm{18}+\mathrm{5x}\right)×\mathrm{3}=\mathrm{309} \\ $$ Answered by hassentimol last updated on 16/Oct/18 $$\mathrm{I}'\mathrm{ve}\:\mathrm{resolved}\:\mathrm{it}\:\mathrm{for}\:{x}. \\ $$$$ \\…