Category: Relation and Functions

Question Number 33581 by abdo imad last updated on 19/Apr/18 $$findthenatureof\sum _{n=1}^{\mathrm{\infty }}{(-1)}^n{(-\frac{1}{n}+arctan\left(\frac{1}{n}\right))}^{\frac{1}{3}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 99113 by mathmax by abdo last updated on 18/Jun/20 $$\mathrm{solve}{\mathrm{y}}^{{}^{″}}+{5\mathrm{y}}^{{}^{\prime }}-3\mathrm{y}={\mathrm{x}}^2\sin \left(3\mathrm{x}\right)\mathrm{with}\mathrm{y}\left(0\right)=0\mathrm{and}{\mathrm{y}}^{{}^{\prime }}\left(0\right)=-1$$ Answered by mathmax by abdo last updated…

Question Number 98945 by mathmax by abdo last updated on 17/Jun/20 $$\mathrm{calculate}{\lim }_{\mathrm{n}\to +\mathrm{\infty }}{\int }_0^{\mathrm{n}}{(1-\frac{\mathrm{t}}{\mathrm{n}})}^{\mathrm{n}}\arctan \left(\mathrm{nt}\right)\mathrm{dt}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 98940 by mathmax by abdo last updated on 17/Jun/20 $$\mathrm{if}\frac{1}{{(1+\mathrm{x})}^{\mathrm{n}}}=\sum _{\mathrm{m}=0}^{\mathrm{\infty }}{\mathrm{a}}_{\mathrm{m}}{\mathrm{x}}^{\mathrm{m}}\mathrm{determinate}{\mathrm{a}}_{\mathrm{m}}$$ Commented by mr W last updated…

Question Number 33359 by caravan msup abdo. last updated on 15/Apr/18 $$letconsidertheserie\sum _{n⩾1}sin\left(\frac{1}{\sqrt{n}}\right)x^n$$$$1)findtheradiusofconvergence$$$$2)studytheconvergenceat-RandR$$$$3)letS\left(x\right)itssumstudythecontinuity$$$$ofS$$$$\left.\mathrm{4}\right)\:{prove}\:{that}\:\left(\mathrm{1}−{x}\right)_{{x}\rightarrow\mathrm{1}^{−} } {S}\left({x}\right)\rightarrow\mathrm{0}…