Category: Limits

Question Number 106869 by bemath last updated on 07/Aug/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:@\mathrm{bemath}@ \\ $$$$\underset{{x}\rightarrow\pi} {\mathrm{lim}}\:\left[\left(\frac{\mathrm{1}}{\mathrm{2x}−\mathrm{2}\pi}\right)\:\underset{\pi} {\overset{\mathrm{x}} {\int}}\:\frac{\mathrm{cos}\:\mathrm{2t}\:\mathrm{dt}}{\mathrm{1}−\mathrm{cos}\:\mathrm{3t}}\:\right]=? \\ $$ Answered by bobhans last updated on 07/Aug/20 $$\:\:\:\:\:\:\:\:\:\overset{\wedge\mathrm{bobhans}\wedge}…

Question Number 172361 by Mikenice last updated on 25/Jun/22 Answered by mr W last updated on 26/Jun/22 $$=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}−\frac{{x}^{\mathrm{3}} }{\mathrm{3}}+{o}\left({x}^{\mathrm{5}} \right)−\left({x}+\frac{{x}^{\mathrm{3}} }{\mathrm{6}}+{o}\left({x}^{\mathrm{5}} \right)\right)}{{x}^{\mathrm{3}} } \\…

Question Number 106771 by bemath last updated on 07/Aug/20 $$\:\:\:\:\:\:\:@\mathrm{bemath}@ \\ $$$$\underset{{x}\rightarrow\pi} {\mathrm{lim}}\left[\frac{\mathrm{4}\left(\mathrm{x}−\pi\right)\:\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}{\pi\left(\pi−\mathrm{2x}\right)\:\mathrm{cos}\:\left(\mathrm{x}−\frac{\pi}{\mathrm{2}}\right)}\right]=\:? \\ $$ Commented by bemath last updated on 07/Aug/20 Answered by…

Question Number 106661 by deep last updated on 06/Aug/20 $$\mathrm{sin}\:{x}\frac{\mathrm{1}}{\mathrm{cos}\:{x}}=\:\frac{\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}}=\mathrm{tan}\:{x} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 172187 by Mikenice last updated on 23/Jun/22 Terms of Service Privacy Policy Contact: info@tinkutara.com