Question Number 37341 by math khazana by abdo last updated on 12/Jun/18 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\:\frac{\mathrm{3}}{{n}^{\mathrm{2}} \left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by math khazana by abdo…
Question Number 37333 by math khazana by abdo last updated on 12/Jun/18 $${let}\:{f}\left({x}\right)=\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{{sin}\left({nx}\right)}{{n}^{\mathrm{3}} } \\ $$$$\left.\mathrm{1}\right){study}\:{the}\:{convergence}\:{of}\:{this}\:{serie} \\ $$$$\left.\mathrm{2}\right){prove}\:{that}\:\:\int_{\mathrm{0}} ^{\pi} {f}\left({x}\right){dx}=\mathrm{2}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\mathrm{1}}{\left(\mathrm{2}{n}−\mathrm{1}\right)^{\mathrm{4}} }…
Question Number 37334 by math khazana by abdo last updated on 12/Jun/18 $${study}\:{the}\:{convergence}\:{of} \\ $$$$\sum_{{n}=\mathrm{0}} ^{\infty} \:\:{e}^{−{x}} \:\sum_{{k}=\mathrm{0}} ^{\infty} \:\:\frac{{x}^{{k}} }{{k}!}\:. \\ $$ Commented by…
Question Number 37335 by math khazana by abdo last updated on 12/Jun/18 $${find}\:\int\:\:\:\:\:{x}\:{arctan}\left({x}+\frac{\mathrm{1}}{{x}}\right){dx}\:. \\ $$ Commented by math khazana by abdo last updated on 14/Jun/18…
Question Number 37295 by math khazana by abdo last updated on 11/Jun/18 $${find}\:{the}\:{principal}\:{value}\:{of}\left\{\left(\mathrm{1}+{i}\right)^{\mathrm{1}−{i}} \right\}^{\mathrm{1}+{i}} . \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 37296 by math khazana by abdo last updated on 11/Jun/18 $${solve}\:{sinz}\:=\mathrm{2}\:\:\:\:\:{zfromC} \\ $$$$ \\ $$ Commented by prof Abdo imad last updated on…
Question Number 37294 by math khazana by abdo last updated on 11/Jun/18 $${let}\:{D}\:={D}\left(\mathrm{0},\mathrm{1}\right)\:{and}\:{f}\left({z}\right)\:=\sum_{{n}=\mathrm{0}} ^{\infty} \:{a}_{{n}} {z}^{{n}} \:{is}\:{a}\:{holomorphe} \\ $$$${function}\:/\:\:\mid{f}\left({x}\right)\mid<\:\:\frac{\mathrm{1}}{\mathrm{1}−\mid{z}\mid}\:\:{prove}\:{that} \\ $$$$\mid{a}_{{n}} \mid\leqslant\:\left({n}+\mathrm{1}\right)\left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)^{{n}} \leqslant\left({n}+\mathrm{1}\right){e}. \\ $$…
Question Number 37282 by abdo.msup.com last updated on 11/Jun/18 $${let}\:{f}\left({x}\right)=\frac{{x}}{\mathrm{1}+{x}^{\mathrm{2}} \:+{x}^{\mathrm{4}} } \\ $$$$\left.\mathrm{1}\right)\:{find}\:{f}^{\left({n}\right)} \left({x}\right) \\ $$$$\left.\mathrm{2}\right){calculate}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{3}\right){developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Commented by abdo.msup.com…
Question Number 37277 by abdo.msup.com last updated on 11/Jun/18 $${let}\:{f}\left({x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+{x}^{{n}} }\:\:{with}\:{n}\:{integr} \\ $$$$\left.\mathrm{1}\right){find}\:{f}^{'} \left({x}\right)\:{and}\:{f}^{''} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{poles}\:{of}\:{f} \\ $$$$\left.\mathrm{3}\right){calculate}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{4}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Commented…
Question Number 37273 by abdo.msup.com last updated on 11/Jun/18 $${let}\:{f}\left({x}\right)={ln}\left({x}−{sinx}\right) \\ $$$$\left.\mathrm{1}\right){find}\:{D}_{{f}} \\ $$$$\left.\mathrm{2}\right){developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com