Category: Relation and Functions

Question Number 122232 by benjo_mathlover last updated on 15/Nov/20 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 56583 by maxmathsup by imad last updated on 18/Mar/19 $${let}\:{f}\left({x}\right)\:=\frac{{cosx}}{{x}^{\mathrm{2}} \:+\mathrm{1}} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left({n}\right)} \left({x}\right)\:\:{then}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right){calculste}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{3}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}\:. \\ $$ Commented…

Question Number 187515 by horsebrand11 last updated on 18/Feb/23 $$\:{Given}\:{f}\left({x}\right)+\mathrm{2}{f}\left(\frac{\mathrm{1}}{{x}}\right)+\mathrm{3}{f}\left(\frac{{x}}{{x}−\mathrm{1}}\right)={x} \\ $$$$\:{f}\left({x}\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 56332 by maxmathsup by imad last updated on 14/Mar/19 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\frac{{arctan}\left(\mathrm{1}+{cosx}\right)−{arctan}\left(\mathrm{2}+{x}\right)}{{x}^{\mathrm{3}} } \\ $$ Answered by kaivan.ahmadi last updated on 07/Apr/19 $$\sim{lim}_{{x}\rightarrow\mathrm{0}} \frac{\mathrm{1}+{cosx}−\mathrm{2}−{x}}{{x}^{\mathrm{3}}…

Question Number 56330 by maxmathsup by imad last updated on 14/Mar/19 $${calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{2}} \left(\mathrm{3}{n}+\mathrm{1}\right)} \\ $$ Commented by maxmathsup by imad last updated…