Category: Arithmetic

Question Number 4454 by FilupSmith last updated on 29/Jan/16 $$S=\frac{x-1}{x+1}+\frac{x-2}{x^2-2}+\frac{x-3}{x^3+3}+\frac{x-4}{x^4-4}+\dots$$$$$$$$S=\underset{i=1}{\sum ^{\mathrm{\infty }}}\frac{x-i}{x^i-{(-1)}^{i}i}$$$$D\mathrm{oes}\mathrm{S}limitt\mathrm{o}\mathrm{a}\mathrm{value}\mathrm{for}\pm x?$$…

Question Number 4285 by Filup last updated on 07/Jan/16 $$S=1+\sqrt{2+\sqrt{3+\sqrt{4+\dots }}}$$$$S=???$$ Commented by RasheedSindhi last updated on 07/Jan/16 $$\mathrm{S}=\sqrt{2+\sqrt{3+\sqrt{4+\dots }}}$$$${S}\left({n}\right)=\sqrt{\left({n}+\mathrm{1}\right)+{S}\left({n}+\mathrm{1}\right)} \…

Question Number 4066 by Filup last updated on 27/Dec/15 $$\mathrm{Can}\mathrm{we}\mathrm{prove}\pi \mathrm{is}\mathrm{tracendental}?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 3928 by Filup last updated on 24/Dec/15 $$\mathrm{Is}\mathrm{this}\mathrm{solvable}:$$$$$$$$y=\lfloor f\left(x\right)\rfloor \mathrm{floor}\mathrm{function}$$$$\frac{dy}{dx}=???$$ Commented by Yozzii last updated on 25/Dec/15…

Question Number 69393 by 06 last updated on 23/Sep/19 Commented by Prithwish sen last updated on 23/Sep/19 $$\left(\mathrm{3}^{\mathrm{t}} +\mathrm{3}^{−\mathrm{t}} \right)^{\mathrm{3}} =\:\mathrm{5}^{\mathrm{3}} \Rightarrow\mathrm{27}^{\mathrm{t}} +\mathrm{27}^{−\mathrm{t}} +\mathrm{3}.\mathrm{3}^{\mathrm{t}} .\mathrm{3}^{−\mathrm{t}}…