Question Number 46421 by maxmathsup by imad last updated on 25/Oct/18 $${let}\:{f}\left({x}\right)=\left({x}+\frac{\mathrm{1}}{{x}}\right)^{{n}} −\left({x}−\frac{\mathrm{1}}{{x}}\right)^{{n}} \:{with}\:{n}\:{integr}\:{natural}\:{and}\:{x}\:{from}\:{R}\:\left({x}\neq\mathrm{0}\right) \\ $$$$\left.\mathrm{1}\right)\:{simplify}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{lim}_{{x}\rightarrow+\infty} {f}\left({x}\right) \\ $$$$\left.\mathrm{3}\right)\:{calculate}\:\:\int_{\mathrm{1}} ^{\mathrm{3}} \:{f}\left({x}\right){dx} \\ $$…
Question Number 46419 by maxmathsup by imad last updated on 25/Oct/18 $${let}\:{f}\left({x}\right)=\:\sqrt{{x}+\mathrm{1}−\sqrt{{x}−\mathrm{1}}} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{D}_{{f}} \\ $$$$\left.\mathrm{2}\right)\:{determine}\:{f}^{−\mathrm{1}} \left({x}\right) \\ $$$$\left.\mathrm{3}\right)\:{find}\:\int\:{f}\left({x}\right){dx} \\ $$$$\left.\mathrm{4}\right)\:{dtetrmine}\:\int\:\:{f}^{−\mathrm{1}} \left({x}\right) \\ $$$$\left.\mathrm{5}\right)\:{let}\:{g}\left({x}\right)=\:\left({ch}\left({x}\right)\right)^{\mathrm{2}} \:\:\:{calculate}\:{fog}\left({x}\right)\:{and}\:\left({fog}\right)^{'}…
Question Number 111772 by mathmax by abdo last updated on 04/Sep/20 $$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \:\prod_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\left(\mathrm{1}+\frac{\sqrt{\mathrm{k}\left(\mathrm{n}−\mathrm{k}\right)}}{\mathrm{n}^{\mathrm{2}} }\right) \\ $$ Answered by mathmax by abdo last updated…
Question Number 111769 by mathmax by abdo last updated on 04/Sep/20 $$\mathrm{let}\:\mathrm{u}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\frac{\mathrm{1}}{\:\sqrt{\left(\mathrm{k}+\mathrm{n}\right)\left(\mathrm{k}+\mathrm{n}+\mathrm{1}\right)}} \\ $$$$\mathrm{detremine}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \mathrm{u}_{\mathrm{n}} \\ $$ Terms of Service Privacy Policy…
Question Number 111766 by mathmax by abdo last updated on 04/Sep/20 $$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \:\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \mathrm{ln}\left(\frac{\mathrm{n}}{\mathrm{n}+\mathrm{k}}\right)^{\frac{\mathrm{1}}{\mathrm{n}}} \\ $$ Answered by Dwaipayan Shikari last updated on 04/Sep/20…
Question Number 111755 by mathmax by abdo last updated on 04/Sep/20 $$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \:\:\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\:\sqrt{\frac{\mathrm{n}−\mathrm{k}}{\mathrm{n}^{\mathrm{3}} \:+\mathrm{n}^{\mathrm{2}} \mathrm{k}}} \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 111754 by mathmax by abdo last updated on 04/Sep/20 $$ \\ $$$$\mathrm{calculate}\:\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \:\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{2n}} \:\:\:\:\frac{\mathrm{k}}{\mathrm{k}^{\mathrm{2}} \:+\mathrm{n}^{\mathrm{2}} } \\ $$ Answered by Dwaipayan Shikari…
Question Number 111699 by bemath last updated on 04/Sep/20 $${find}\:{minimum}\:{value}\:{of}\:{function} \\ $$$${f}\left({x}\right)\:=\:\frac{\mathrm{27}}{\mathrm{2}{x}^{\mathrm{2}} }\:+\:\frac{\mathrm{96}}{\mathrm{27}}\:{x}^{\mathrm{2}} \\ $$ Answered by john santu last updated on 04/Sep/20 Answered by…
Question Number 177146 by mathlove last updated on 01/Oct/22 $${f}\left({x}\right)={f}\left({x}−\mathrm{1}\right)+{x}^{\mathrm{2}} +\mathrm{2}{x} \\ $$$${f}\left(\mathrm{6}\right)=\mathrm{33}\:\:{faind}\:{volue}\:{of}\:\:{f}\left(\mathrm{50}\right)=? \\ $$ Answered by cortano1 last updated on 01/Oct/22 $$\:\mathrm{f}\left(\mathrm{x}\right)−\mathrm{f}\left(\mathrm{x}−\mathrm{1}\right)=\mathrm{x}^{\mathrm{2}} +\mathrm{2x} \\…
Question Number 46060 by samitoh last updated on 20/Oct/18 $${determine}\:{whether}\:{or}\:{not}\:\:\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left[\:\:\:\:\:\right. \\ $$$${is}\:{continuous} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 20/Oct/18 $${a}\:{function}\:{f}\left({x}\right)\:{will}\:{be}\:{continuous}\:{at}\:{x}={a} \\ $$$${when}\:\underset{{x}\rightarrow{a}−}…