Category: Relation and Functions

Question Number 10095 by Tawakalitu ayo mi last updated on 23/Jan/17 $$\mathrm{Prove}\mathrm{that}\mathrm{f}\left(\mathrm{x}\right)={\mathrm{x}}^2\mathrm{is}\mathrm{continous}\mathrm{at}\mathrm{x}=2$$$$\mathrm{while}\mathrm{f}\left(\mathrm{x}\right)=\{{}_{0\mathrm{x}=2}^{{\mathrm{x}}^2\mathrm{x}\ne 2}\mathrm{is}\mathrm{not}\mathrm{continous}\mathrm{at}\mathrm{x}=2$$ Answered by sandy_suhendra last updated…

Question Number 9960 by Tawakalitu ayo mi last updated on 19/Jan/17 Answered by sandy_suhendra last updated on 20/Jan/17 $$\left(\mathrm{i}\right)\mathrm{f}(-1)={(-1)}^2+3(-1)-1=-3$$$$\:\:\:\:\:\:\mathrm{li}\underset{\mathrm{x}\rightarrow−\mathrm{1}} {\mathrm{m}}\:\mathrm{x}^{\mathrm{2}} +\mathrm{3x}−\mathrm{1}=−\mathrm{3} \…

Question Number 140978 by Mathspace last updated on 14/May/21 $$calculate\sum _{n=0}^{\mathrm{\infty }}\frac{1}{{(n!)}^2}$$ Answered by Dwaipayan Shikari last updated on 14/May/21 $$\underset{{n}=\mathrm{0}} {\overset{\infty}…

Question Number 140828 by jlewis last updated on 13/May/21 $$\mathrm{factorise}{3\mathrm{k}}^2+2\mathrm{kh}-{8\mathrm{h}}^2$$ Answered by liberty last updated on 13/May/21 $$(3\mathrm{k}-4\mathrm{h})(\mathrm{k}+2\mathrm{h})$$ Commented by…

Question Number 75212 by chess1 last updated on 08/Dec/19 Answered by mind is power last updated on 08/Dec/19 $$\mathrm{x}=\mathrm{y}=0\Rightarrow$$$$\mathrm{f}\left(0\right)=1$$$$\mathrm{y}=-2\mathrm{x}$$$$\mathrm{f}\left(\mathrm{x}\right)+\mathrm{1}−\mathrm{10x}^{\mathrm{2}}…