Category: Relation and Functions

Question Number 50400 by Abdo msup. last updated on 16/Dec/18 $${study}\:{and}\:{give}\:{the}\:{graph}\:{for} \\ $$$${f}\left({x}\right)\:=\left({x}−\frac{\mathrm{1}}{{x}}\right)^{{x}} \\ $$ Answered by ANTARES VY last updated on 16/Dec/18 Terms of…

Question Number 50398 by Abdo msup. last updated on 16/Dec/18 $${find}\:{lim}_{{t}\rightarrow+\infty} \:\:\:\frac{{sh}\left(\sqrt{{t}^{\mathrm{2}} +{t}}\right)−{sh}\sqrt{{t}^{\mathrm{2}} −{t}}}{\left(\mathrm{1}+\frac{\mathrm{1}}{{t}}\right)^{{t}^{\mathrm{2}} } \:\:−\frac{{t}^{\mathrm{6}} }{\mathrm{6}}{ln}^{\mathrm{2}} \left({t}\right)} \\ $$ Terms of Service Privacy Policy…

Question Number 50394 by Abdo msup. last updated on 16/Dec/18 $$\left.{let}\:\:{x}\in\right]\mathrm{0},\mathrm{1}\left[\:\:{prove}\:{that}\:{the}\:{equation}\right. \\ $$$${tan}\left(\frac{\pi{x}}{\mathrm{2}}\right)=\frac{\pi}{\mathrm{2}{nx}}\:{have}\:{only}\:{one}\:{solution}\:{x}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{study}\:{tbe}\:{sequence}\:\left({x}_{{n}} \right)\:{and}\:{find}\:{a}\:{equivalent}\:{of}\:{x}_{{n}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 50392 by Abdo msup. last updated on 16/Dec/18 $${let}\:{u}_{\mathrm{0}} =\mathrm{5}\:{and}\:\forall{n}\in{N}\:\:\:{u}_{{n}+\mathrm{1}} ={u}_{{n}} \:+\frac{\mathrm{1}}{{n}} \\ $$$${prove}\:{that}\:\mathrm{45}<{u}_{\mathrm{1000}} <\mathrm{45},\mathrm{1} \\ $$ Terms of Service Privacy Policy Contact:…

Question Number 50389 by Abdo msup. last updated on 16/Dec/18 $${find}\:{the}\:{sequence}\:{u}_{{n}} \:\:{wich}\:{verify}\: \\ $$$${u}_{{n}+\mathrm{2}} \:+\mathrm{4}{u}_{{n}+\mathrm{1}} −\mathrm{4}{u}_{{n}} ={n} \\ $$ Terms of Service Privacy Policy Contact:…