Question Number 41408 by maxmathsup by imad last updated on 06/Aug/18 $${calculate}\:\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}\left({n}+\mathrm{1}\right)\left({n}+\mathrm{2}\right)\left({n}+\mathrm{3}\right)} \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 41409 by maxmathsup by imad last updated on 06/Aug/18 $${calculate}\:{S}_{{p}} =\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}\left({n}+\mathrm{1}\right)\left({n}+\mathrm{2}\right)…\left({n}+{p}\right)}\:\:{with}\:{p}\:{fromN} \\ $$ Answered by sma3l2996 last updated on 07/Aug/18…
Question Number 41407 by maxmathsup by imad last updated on 06/Aug/18 $${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}\left({n}+\mathrm{1}\right)\left({n}+\mathrm{2}\right)} \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 41349 by math khazana by abdo last updated on 06/Aug/18 $${calculate}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{3}{n}−\mathrm{1}} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 41345 by maxmathsup by imad last updated on 05/Aug/18 $${let}\:{u}_{{n}} =\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}}\:−{ln}\left({n}\right) \\ $$$$\left.\mathrm{1}\right)\:{prove}\:{that}\:\left({u}_{{n}} \right){is}\:{convergent} \\ $$$$\left.\mathrm{2}\right)\:{let}\:\gamma\:={lim}_{{n}\rightarrow+\infty} {u}_{{n}} \:\:\:{prove}\:{that}\:\mathrm{0}<\gamma<\mathrm{1}\:\: \\ $$ Commented…
Question Number 41342 by maxmathsup by imad last updated on 05/Aug/18 $${find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{\mathrm{1}}{{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} \left({n}+\mathrm{2}\right)^{\mathrm{2}} } \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 41286 by maxmathsup by imad last updated on 04/Aug/18 $${find}\:\:{S}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\:\frac{\mathrm{1}}{\mathrm{3}{k}+\mathrm{1}}\:{interms}\:{of}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$ Terms of Service Privacy Policy…
Question Number 41236 by maxmathsup by imad last updated on 04/Aug/18 $${find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{2}} ^{\infty} \:\:\:\frac{\mathrm{3}{n}^{\mathrm{2}} \:+\mathrm{1}}{\left({n}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on…
Question Number 106707 by bemath last updated on 06/Aug/20 $$\:\:\:\:@\mathrm{bemath}@ \\ $$$$\mathcal{G}\mathrm{iven}\:\begin{cases}{\mathrm{f}\left(\mathrm{x}\right)=\mathrm{2x}+\mathrm{3}}\\{\left(\mathrm{g}\circ\mathrm{f}\right)\left(\mathrm{x}\right)=\mathrm{2x}−\mathrm{1}}\end{cases} \\ $$$$\mathrm{find}\:\left(\mathrm{f}\circ\mathrm{g}\right)\left(\mathrm{2}\right). \\ $$ Answered by john santu last updated on 06/Aug/20 Answered…
Question Number 41136 by math khazana by abdo last updated on 02/Aug/18 $${let}\:{f}\left({x}\right)=\mathrm{2}{x}−\sqrt{{x}−\mathrm{1}} \\ $$$${find}\:\:\int\:{f}^{−\mathrm{1}} \left({x}\right){dx}\:. \\ $$ Answered by MJS last updated on 02/Aug/18…