Question Number 42089 by maxmathsup by imad last updated on 17/Aug/18 $${let}\:{f}\left({x}\right)\:=\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{sin}\left({nx}\right)}{{n}}\:{x}^{{n}} \:\:\:\:\:{with}\:\:−\mathrm{1}<{x}<\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:{find}\:\:{a}\:{explicite}\:{form}\:{of}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\mathrm{1}}{{n}\mathrm{2}^{{n}} }{sin}\left(\frac{{n}}{\mathrm{2}}\right) \\ $$ Commented…
Question Number 173132 by alcohol last updated on 07/Jul/22 $${U}_{{n}} \:=\:\left(\frac{\left(−\mathrm{4}\right)^{{n}+\mathrm{1}} −\mathrm{1}}{\mathrm{1}−\left(−\mathrm{4}\right)^{{n}} }\right){U}_{{n}−\mathrm{1}} \:{with}\:{U}_{\mathrm{0}} =\mathrm{1} \\ $$$${find}\:{U}_{{n}\:} \:{in}\:{terms}\:{of}\:{n}\:\: \\ $$ Commented by kaivan.ahmadi last updated…
Question Number 42036 by Tawa1 last updated on 17/Aug/18 $$\mathrm{State}\:\mathrm{the}\:\mathrm{phase}\:\mathrm{shift},\:\:\mathrm{the}\:\mathrm{amplitude}\:\mathrm{and}\:\mathrm{draw}\:\mathrm{the}\:\mathrm{graph}. \\ $$$$\left(\mathrm{a}\right)\:\:\mathrm{g}\left(\theta\right)\:=\:\frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{sin}\left(\mathrm{2}\theta\:+\:\pi\right) \\ $$$$\left(\mathrm{b}\right)\:\:\mathrm{f}\left(\theta\right)\:=\:\mathrm{1}\:+\:\frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{sin}\left(\mathrm{2}\theta\:+\:\pi\right) \\ $$$$\left(\mathrm{c}\right)\:\:\mathrm{f}\left(\theta\right)\:=\:\mathrm{4}\theta \\ $$$$ \\ $$ Commented by maxmathsup by imad…
Question Number 42020 by math khazana by abdo last updated on 16/Aug/18 $${let}\:\:{S}_{{n}} \left({x}\right)=\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{{x}^{{k}} }{\:\sqrt{{k}}} \\ $$$${find}\:{a}\:{equivalent}\:{of}\:{S}_{{n}} \left({x}\right)\:{when}\:{n}\rightarrow+\infty \\ $$ Terms of Service…
Question Number 173007 by Mikenice last updated on 04/Jul/22 Commented by MJS_new last updated on 04/Jul/22 $$\mathrm{seriously}? \\ $$$$\mathrm{which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{animals}\:\mathrm{is}\:\mathrm{a}\:\mathrm{bird}? \\ $$$$\mathrm{A}.\:\mathrm{mouse} \\ $$$$\mathrm{B}.\:\mathrm{cat} \\ $$$$\mathrm{C}.\:\mathrm{dog}…
Question Number 107401 by mathmax by abdo last updated on 10/Aug/20 $$\mathrm{sove}\:\mathrm{y}^{''} \:=\mathrm{y}^{\mathrm{2}} \\ $$ Answered by mr W last updated on 10/Aug/20 $${y}''={y}'\frac{{d}\left({y}'\right)}{{dy}}={u}\frac{{du}}{{dy}} \\…
Question Number 107292 by mathmax by abdo last updated on 09/Aug/20 $$\mathrm{let}\:\mathrm{U}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\mathrm{sin}\left(\frac{\mathrm{k}}{\mathrm{n}}\right)\mathrm{sin}\left(\frac{\mathrm{k}}{\mathrm{n}^{\mathrm{2}} }\right) \\ $$$$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \:\mathrm{U}_{\mathrm{n}} \\ $$ Terms of Service Privacy…
Question Number 107290 by mathmax by abdo last updated on 09/Aug/20 $$\mathrm{find}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \frac{\mathrm{1}}{\mathrm{n}}\sum_{\mathrm{k}=\mathrm{0}} ^{\mathrm{n}−\mathrm{1}} \:\frac{\mathrm{k}}{\:\sqrt{\mathrm{4n}^{\mathrm{2}} −\mathrm{k}^{\mathrm{2}} }} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 107288 by mathmax by abdo last updated on 09/Aug/20 $$\mathrm{let}\:\mathrm{u}_{\mathrm{n}} =\frac{\mathrm{1}}{\mathrm{n}^{\mathrm{2}} }\prod_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \left(\mathrm{n}^{\mathrm{2}} \:+\mathrm{k}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{n}}} \\ $$$$\mathrm{determine}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \mathrm{u}_{\mathrm{n}} \\ $$ Answered by…
Question Number 107289 by mathmax by abdo last updated on 09/Aug/20 $$\mathrm{fnd}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \:\:\left(\frac{\left(\mathrm{2n}\right)!}{\mathrm{n}^{\mathrm{n}} \:\mathrm{n}!}\right)^{\frac{\mathrm{1}}{\mathrm{n}}} \\ $$ Answered by Ar Brandon last updated on 13/Aug/20 $$\mathrm{A}_{\mathrm{n}}…