Question Number 104919 by mathmax by abdo last updated on 24/Jul/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{2}} }} \\ $$$$\mathrm{finf}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{x}\right) \\ $$ Commented by malwaan last updated on 25/Jul/20…
Question Number 39380 by maxmathsup by imad last updated on 05/Jul/18 $${find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{4}{n}+\mathrm{1}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 39376 by maxmathsup by imad last updated on 05/Jul/18 $${how}\:{to}\:{calculate}\:{the}\:{product}\:\left(\sum_{{n}=\mathrm{0}} ^{\infty} {a}_{{n}} {x}^{{n}} \right).\left(\sum_{{n}=\mathrm{0}} ^{\infty} \:{b}_{{n}} \:{x}^{\mathrm{2}{n}} \right)? \\ $$ Terms of Service…
Question Number 39378 by maxmathsup by imad last updated on 05/Jul/18 $${study}\:{the}\:{derivability}\:{of} \\ $$$${f}\left({x}\right)=\sum_{{n}=\mathrm{0}} ^{\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{nx}\:+\mathrm{1}} \\ $$ Commented by math khazana by abdo…
Question Number 104895 by mathmax by abdo last updated on 24/Jul/20 $$\left.\mathrm{1}\right)\:\mathrm{decompose}\:\mathrm{the}\:\mathrm{fraction}\:\:\mathrm{F}\left(\mathrm{x}\right)\:=\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} \left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{4}} } \\ $$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{sumA}\:=\:\:\sum_{\mathrm{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}}{\mathrm{n}^{\mathrm{3}} \left(\mathrm{n}+\mathrm{1}\right)^{\mathrm{4}} }\:\:\mathrm{and}\:\mathrm{B}\:=\sum_{\mathrm{n}=\mathrm{1}} ^{\infty\:} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{n}^{\mathrm{3}} \left(\mathrm{n}+\mathrm{1}\right)^{\mathrm{4}} }…
Question Number 104891 by mathmax by abdo last updated on 24/Jul/20 $$\left.\mathrm{1}\right)\:\mathrm{decompose}\:\mathrm{the}\:\mathrm{fraction}\:\mathrm{F}\left(\mathrm{x}\right)\:=\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} \left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:\sum_{\mathrm{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{n}^{\mathrm{3}} \left(\mathrm{n}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Answered by…
Question Number 39291 by math khazana by abdo last updated on 04/Jul/18 $${let}\:{f}\left({x}\right)=\frac{{e}^{−{x}^{\mathrm{2}} } }{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$$${developp}\:{f}\:{at}\:{integr}\:{serie}\:. \\ $$ Commented by abdo mathsup 649…
Question Number 104772 by mathmax by abdo last updated on 23/Jul/20 $$\mathrm{let}\:\varphi\left(\mathrm{x}\right)\:=\:\mathrm{x}^{\mathrm{3}} \:+\mathrm{x}+\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{prove}\:\mathrm{that}\:\varphi\:\mathrm{have}\:\mathrm{one}\:\mathrm{real}\:\mathrm{root}\:\alpha \\ $$$$\left.\mathrm{2}\right)\mathrm{determine}\:\mathrm{a}\:\mathrm{approximate}\:\mathrm{value}\:\mathrm{for}\:\alpha\:\:\mathrm{by}\:\mathrm{use}\:\mathrm{of}\:\mathrm{newton}\:\mathrm{method} \\ $$$$\left.\mathrm{3}\right)\mathrm{factorise}\:\mathrm{inside}\:\mathrm{R}\left(\mathrm{x}\right)\:\mathrm{f}\left(\mathrm{x}\right) \\ $$$$\left.\mathrm{4}\right)\:\mathrm{calculste}\:\int\:\frac{\mathrm{dx}}{\varphi\left(\mathrm{x}\right)} \\ $$ Answered by…
Question Number 104771 by mathmax by abdo last updated on 23/Jul/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\mathrm{x}^{\mathrm{3}} \:+\mathrm{x}−\mathrm{3} \\ $$$$\left.\mathrm{1}\left.\right)\:\mathrm{prove}\:\mathrm{that}\:\mathrm{f}\:\mathrm{have}\:\mathrm{one}\:\mathrm{root}\:\mathrm{real}\:\alpha_{\mathrm{0}} \:\:\:\mathrm{and}\:\alpha_{\mathrm{0}} \:\in\:\right]\mathrm{1},\mathrm{2}\left[\right. \\ $$$$\left.\mathrm{2}\right)\:\mathrm{factorize}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{inside}\:\mathrm{R}\left[\mathrm{x}\right]\:\mathrm{and}\:\mathrm{C}\left[\mathrm{x}\right] \\ $$$$\left.\mathrm{3}\:\right)\:\mathrm{find}\:\int\:\frac{\mathrm{dx}}{\mathrm{f}\left(\mathrm{x}\right)} \\ $$ Answered by…
Question Number 39204 by math khazana by abdo last updated on 03/Jul/18 $${study}\:{tbe}\:{variation}\:{of}\:{f}\left({x}\right)\:=\left(\mathrm{2}{x}+\mathrm{1}\right){ln}\left(\mathrm{1}+{e}^{−{x}} \right) \\ $$$${and}\:{give}\:{its}\:{graph} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{4}} \:{f}\left({x}\right){dx}\:. \\ $$ Terms of Service…