Question Number 35220 by abdo.msup.com last updated on 16/May/18 $${let}\:{z}\:{from}\:{C}\:{and}\:{f}\left({z}\right)=\:\frac{\mathrm{2}{z}}{\left({z}−\mathrm{1}\right)\left(\mathrm{2}{z}\:+\mathrm{1}\right)} \\ $$$${developp}\:{f}\:{at}\:{integr}\:{serie}. \\ $$ Commented by abdo mathsup 649 cc last updated on 18/May/18 $${let}\:{decompose}\:{f}\left({z}\right)=\:…
Question Number 35216 by abdo.msup.com last updated on 16/May/18 $${study}\:{the}\:{function}\: \\ $$$${f}_{{n}} \left({x}\right)={arcos}\left({ncosx}\right)\:{n}\geqslant\mathrm{1}\:{integr}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 100649 by mathmax by abdo last updated on 28/Jun/20 $$\mathrm{calculate}\:\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{3n}+\mathrm{1}}\:\mathrm{and}\:\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{4n}+\mathrm{1}} \\ $$ Terms of Service Privacy Policy…
Question Number 35057 by math khazana by abdo last updated on 14/May/18 $${let}\:{u}_{{n}} =\left(\frac{{n}}{{n}+\mathrm{1}}\right)^{\frac{\mathrm{1}}{{n}}} \:\:−\mathrm{1} \\ $$$${find}\:{the}\:{nature}\:{of}\:\sum_{{n}\geqslant\mathrm{0}} {u}_{{n}} \\ $$ Commented by prof Abdo imad…
Question Number 35052 by math khazana by abdo last updated on 14/May/18 $${let}\:{f}\left({x}\right)\:=\:\:\frac{{x}}{{x}^{\mathrm{2}} \:+{x}−\mathrm{1}} \\ $$$${developp}\:{f}\:{atintegr}\:{serie} \\ $$ Commented by abdo mathsup 649 cc last…
Question Number 35051 by math khazana by abdo last updated on 14/May/18 $${calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\frac{{n}+\mathrm{3}}{\mathrm{2}{n}+\mathrm{1}}{x}^{{n}} \\ $$$$ \\ $$ Commented by math khazana by abdo…
Question Number 35050 by math khazana by abdo last updated on 14/May/18 $${calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} \:\:{x}^{\mathrm{2}{n}+\mathrm{1}} }{\mathrm{4}{n}^{\mathrm{2}} −\mathrm{1}} \\ $$ Terms of Service Privacy Policy…
Question Number 35040 by math khazana by abdo last updated on 14/May/18 $${find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\:\:\frac{{x}^{{n}} }{{n}\left({n}+\mathrm{1}\right)\left(\mathrm{2}{n}−\mathrm{1}\right)} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{2}^{{n}} {n}\left({n}+\mathrm{1}\right)\left(\mathrm{2}{n}−\mathrm{1}\right)} \\ $$ Terms…
Question Number 35041 by math khazana by abdo last updated on 14/May/18 $${find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{n}+\mathrm{1}}{{n}^{\mathrm{3}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by math khazana by abdo…
Question Number 35037 by abdo mathsup 649 cc last updated on 14/May/18 $${prove}\:{that}\:\forall\:{n}\in{N} \\ $$$$\sum_{{k}=\mathrm{0}} ^{\mathrm{2}{n}} \:\left(−\mathrm{1}\right)^{{k}} \left(\:{C}_{\mathrm{2}{n}} ^{{k}} \right)^{\mathrm{2}} \:=\left(−\mathrm{1}\right)^{{n}} \:{C}_{\mathrm{2}{n}} ^{{n}} \:\:. \\…