Question Number 113511 by Khalmohmmad last updated on 13/Sep/20 Answered by mathmax by abdo last updated on 13/Sep/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\frac{\mathrm{ln}\left(\mathrm{lnx}\right)}{\mathrm{x}}\:\:\mathrm{changement}\:\mathrm{lnx}\:=\mathrm{t}\:\mathrm{give}\:\mathrm{x}\:=\mathrm{e}^{\mathrm{t}\:} \:\Rightarrow \\ $$$$\mathrm{f}\left(\mathrm{x}\right)\:=\frac{\mathrm{ln}\left(\mathrm{t}\right)}{\mathrm{e}^{\mathrm{t}} }\:=\mathrm{e}^{−\mathrm{t}} \:\mathrm{ln}\left(\mathrm{t}\right)\:\Rightarrow\mathrm{lim}_{\mathrm{x}\rightarrow+\infty} \mathrm{f}\left(\mathrm{x}\right)\:=\mathrm{lim}_{\mathrm{t}\rightarrow+\infty}…
Question Number 179044 by otchereabdullai@gmail.com last updated on 23/Oct/22 $$\mathrm{Three}\:\mathrm{interior}\:\mathrm{angles}\:\mathrm{of}\:\mathrm{a}\:\mathrm{polygon}\:\mathrm{are} \\ $$$$\:\mathrm{160}\:\mathrm{each}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{other}\:\mathrm{interior}\:\mathrm{angles} \\ $$$$\:\mathrm{are}\:\mathrm{120}\:\mathrm{each}.\mathrm{find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{sides}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 113507 by Khalmohmmad last updated on 13/Sep/20 Answered by Dwaipayan Shikari last updated on 13/Sep/20 $$\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\sqrt{{x}}\:{e}^{{sin}\left(\frac{\pi}{{x}}\right)} \\ $$$$=\sqrt{{x}}\:{e}^{{sinz}} \:\:\:\:\:{z}\rightarrow+\infty \\ $$$$−\mathrm{1}\leqslant{sinz}\leqslant\mathrm{1}…
Question Number 113504 by Khalmohmmad last updated on 13/Sep/20 Commented by Khalmohmmad last updated on 13/Sep/20 $$\mathrm{Please}\:\mathrm{Solve} \\ $$ Commented by kaivan.ahmadi last updated on…
Question Number 113503 by Khalmohmmad last updated on 13/Sep/20 Commented by Khalmohmmad last updated on 13/Sep/20 $$\mathrm{Please}\:\mathrm{Solve} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 113505 by Lekhraj last updated on 13/Sep/20 Answered by mr W last updated on 13/Sep/20 Commented by mr W last updated on 13/Sep/20…
Question Number 113488 by weltr last updated on 13/Sep/20 $${prove}\:{that} \\ $$$$\frac{{sin}\left(\mathrm{2}{a}\right){cos}\left(\mathrm{2}{a}\right)}{{cos}\left(\mathrm{4}{a}\right)}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:{tan}\left(\mathrm{4}{a}\right) \\ $$ Answered by som(math1967) last updated on 13/Sep/20 $$\mathrm{L}.\mathrm{H}.\mathrm{S}=\frac{\mathrm{2sin2}\alpha\mathrm{cos2}\alpha}{\mathrm{2cos4}\alpha} \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{sin4}\alpha}{\mathrm{cos4}\alpha}=\frac{\mathrm{1}}{\mathrm{2}}\mathrm{tan4}\alpha=\mathrm{R}.\mathrm{H}.\mathrm{S} \\…
Question Number 113472 by ARVIND990 last updated on 13/Sep/20 Answered by mr W last updated on 13/Sep/20 Commented by mr W last updated on 13/Sep/20…
Question Number 113452 by mathdave last updated on 13/Sep/20 Answered by maths mind last updated on 13/Sep/20 $${x}={sin}\left({t}\right) \\ $$$$\Rightarrow=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{tcos}\left({t}\right){dt}}{{sin}\left({t}\right)+{cos}\left({t}\right)}={I} \\ $$$${J}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 47900 by ggny last updated on 16/Nov/18 $${thanks}\:{sir} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com