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Category: Relation and Functions

Find-domain-of-function-r-x-arc-cos-3-4-2sin-x-

Question Number 122337 by benjo_mathlover last updated on 15/Nov/20 $$\:{Find}\:{domain}\:{of}\:{function} \\ $$$$\:{r}\left({x}\right)\:=\:\mathrm{arc}\:\mathrm{cos}\:\:\left(\frac{\mathrm{3}}{\mathrm{4}+\mathrm{2sin}\:{x}}\right) \\ $$ Commented by liberty last updated on 16/Nov/20 $$\mathrm{The}\:\mathrm{function}\:\mathrm{defined}\:\mathrm{for}\:\mathrm{values}\:\mathrm{of}\:\mathrm{x} \\ $$$$\mathrm{for}\:\mathrm{which}\:−\mathrm{1}\leqslant\:\frac{\mathrm{3}}{\mathrm{4}+\mathrm{2sin}\:\mathrm{x}}\:\leqslant\:\mathrm{1}\:. \\…

let-f-x-cosx-x-2-1-1-calculate-f-n-x-then-f-n-0-2-calculste-f-n-0-3-developp-f-at-integr-serie-

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…

calculate-lim-x-0-arctan-1-cosx-arctan-2-x-x-3-

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}}…