Category: Algebra

Question Number 145444 by mathdanisur last updated on 04/Jul/21 $$\frac{1}{2}-\frac{3}{4}+\frac{7}{8}-\frac{15}{16}+\dots =?$$ Answered by Olaf_Thorendsen last updated on 05/Jul/21 $$\mathrm{S}\:=\:\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \frac{\mathrm{2}^{{n}+\mathrm{1}} −\mathrm{1}}{\mathrm{2}^{{n}+\mathrm{1}} }…

Question Number 145436 by mathdanisur last updated on 04/Jul/21 Commented by justtry last updated on 05/Jul/21 Commented by mathdanisur last updated on 05/Jul/21 $${thanks}\:{Ser},\:{but}\:{wrong} \…

Question Number 79883 by MJS last updated on 29/Jan/20 $$\mathrm{to}\mathrm{Sir}\mathrm{Jagoll}\left(andofcourseeverybodyelse\right)$$$$$$$$\left(1\right)$$$$y=\frac{x^2-x-6}{x^2-3x-4}=$$$$=\frac{(x-3)(x+2)}{(x-4)(x+1)}\Rightarrow$$$$\Rightarrow \{\begin{array}{l}\mathrm{zeros}\mathrm{at}x=-2;x=3\\ \mathrm{vertical}\mathrm{asymptotes}\mathrm{at}x=-1;x=4\end{array}$$$$\mathrm{defined}\:\mathrm{for}\:{x}\in\mathbb{R}\backslash\left\{−\mathrm{1};\:\mathrm{4}\right\} \…

Question Number 145411 by puissant last updated on 04/Jul/21 $$\mathrm{un}\mathrm{espace}\mathrm{vectoriel}{\mathrm{n}}^{\prime }\mathrm{as}\mathrm{un}\mathrm{seul}$$$$\mathrm{hyper}-\mathrm{plan}..\mathrm{quelle}\mathrm{est}\mathrm{sa}\mathrm{dimension}.?$$ Answered by Olaf_Thorendsen last updated on 04/Jul/21 $${\mathrm{L}}^{\prime }\mathrm{une}\mathrm{des}\mathrm{definitions}\mathrm{des}\mathrm{hyperplans}$$$$\mathrm{entraine}\:\mathrm{dim}\left(\mathrm{H}\right)\:=\:\mathrm{dim}\left(\mathrm{E}\right)−\mathrm{1}\:=\:{n}−\mathrm{1} \…

Question Number 79864 by TawaTawa last updated on 28/Jan/20 Terms of Service Privacy Policy Contact: info@tinkutara.com