Question Number 92080 by mathmax by abdo last updated on 04/May/20 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\frac{{sin}\left(\mathrm{2}{shx}\right)\:−{sh}\left(\mathrm{2}{sinx}\right)}{{e}^{{x}} −\mathrm{1}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 92079 by mathmax by abdo last updated on 04/May/20 $${find}\:{lim}_{{x}\rightarrow\mathrm{0}} \frac{{e}^{{sin}^{\mathrm{2}} {x}} −{e}^{{x}^{\mathrm{3}} −\mathrm{2}{x}} }{{x}^{\mathrm{2}} } \\ $$ Commented by john santu last…
Question Number 26400 by abdo imad last updated on 25/Dec/17 $${find}\:{the}\:{sequence}\:\left({u}_{{n}} \right)\:{wich}\:{verify}\:{u}_{{n}} \:−\mathrm{2}\:{u}_{{n}−\mathrm{1}} \:+\mathrm{1}=\:\mathrm{2}^{{n}} \\ $$ Answered by prakash jain last updated on 25/Dec/17 $${x}−\mathrm{2}=\mathrm{0}…
Question Number 26313 by Tinkutara last updated on 24/Dec/17 $$\mathrm{If}\:\mathrm{domain}\:\mathrm{of}\:{y}\:=\:{f}\left({x}\right)\:\mathrm{is}\:\left[−\mathrm{3},\:\mathrm{2}\right]\:\mathrm{and} \\ $$$${g}\left({x}\right)\:=\:{f}\left(\mid\left[{x}\right]\mid\right)\:\left(\left[\centerdot\right]\:\mathrm{denotes}\:\mathrm{the}\:\mathrm{greatest}\right. \\ $$$$\left.\mathrm{integer}\:\mathrm{function}\right),\:\mathrm{then}\:\mathrm{domain}\:\mathrm{of}\:{g}\left({x}\right) \\ $$$$\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26111 by abdo imad last updated on 19/Dec/17 $${find}\:\:{the}\:{radius}\:{of}\:{convergence}\:{for}\:{the}\:{serie}\:\:\:\sum_{{n}=\mathrm{1}} ^{\propto} \:{H}_{{n}} \:{x}^{{n}} \\ $$$${H}_{{n}} \:\:=\:\:\:\sum_{{k}=\mathrm{1}} ^{{k}={n}} \:\:\frac{\mathrm{1}}{{k}}\:. \\ $$ Commented by prakash jain…
Question Number 91640 by mathmax by abdo last updated on 02/May/20 $${find}\:{nature}\:{of}\:{the}\:{serie}\:\sum_{{n}} \:{cos}\left(\pi{n}^{\mathrm{2}} {ln}\left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)\right) \\ $$ Commented by mathmax by abdo last updated on 04/May/20…
Question Number 91639 by mathmax by abdo last updated on 02/May/20 $${find}\:{lim}_{{n}\rightarrow\infty} \:\left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)^{\mathrm{2}} \:\frac{{n}!}{{n}^{{n}+\frac{\mathrm{1}}{\mathrm{2}}} } \\ $$ Commented by mathmax by abdo last updated on…
Question Number 91637 by mathmax by abdo last updated on 02/May/20 $${f}\:{continue}\:{on}\:\left[\mathrm{0},\mathrm{1}\right]\:{stady}\:{the}\:{serie}\:\Sigma\:{u}_{{n}} \:\:\:{with} \\ $$$$\left.{u}_{{n}} \left.=\left(−\mathrm{1}\right)^{{n}} \:\int_{\mathrm{0}} ^{\mathrm{1}} \:{t}^{{n}} {f}\right){t}\right){dt} \\ $$ Terms of Service…
Question Number 91632 by mathmax by abdo last updated on 02/May/20 $${find}\:{a}\:{equivalent}\:{of}\:{U}_{{n}} \:=\mathrm{1}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}+…+\frac{\mathrm{1}}{\:\sqrt{{n}}} \\ $$ Commented by mathmax by abdo last updated on 02/May/20 $${we}\:{hsve}\:{U}_{{n}}…
Question Number 91631 by mathmax by abdo last updated on 02/May/20 $${find}\:{a}\:{equivalent}\:{of}\:\sum_{{k}=\mathrm{2}} ^{{n}} {ln}\left({k}\right) \\ $$ Commented by mathmax by abdo last updated on 02/May/20…