Question Number 29149 by abdo imad last updated on 04/Feb/18 $$\left({u}_{{n}} \right)_{{n}} \:\:{is}\:{arithmetic}\:{progression}/\:{u}_{{n}} =\:{u}_{\mathrm{0}} +{nr}\: \\ $$$${find}\:{S}_{{n}} =\:\:\sum_{{k}=\mathrm{0}} ^{{n}} \:\:{u}_{{k}} ^{\mathrm{2}} .\: \\ $$ Answered…
Question Number 94660 by msup by abdo last updated on 20/May/20 $${u}_{{n}} =\left(\mathrm{1}+\frac{\mathrm{1}}{{n}^{\mathrm{2}} }\right)\left(\mathrm{1}+\frac{\mathrm{2}}{{n}^{\mathrm{2}} }\right)…\left(\mathrm{1}+\frac{{n}}{{n}^{\mathrm{2}} }\right) \\ $$$${find}\:{lim}_{{n}\rightarrow+\infty} {u}_{{n}} \\ $$ Terms of Service Privacy…
Question Number 94658 by msup by abdo last updated on 20/May/20 $${find}\:{lim}_{{n}\rightarrow+\infty} \:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\left(\mathrm{1}−\frac{{t}}{{n}}\right)^{{n}} \:{arctan}\left(\mathrm{1}+{nt}\right){dt} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 94661 by msup by abdo last updated on 20/May/20 $${calculate}\:\Sigma\:{a}_{{n}} {x}^{{n}} \:{if}\:{a}_{{n}} \:{verify} \\ $$$${a}_{{n}+\mathrm{1}} ={a}_{{n}} \:+{a}_{{n}−\mathrm{1}} \\ $$ Terms of Service Privacy…
Question Number 94659 by msup by abdo last updated on 20/May/20 $${calculate}\:{lim}_{{n}\rightarrow+\infty} \int_{\mathrm{0}} ^{\infty} \:\left(\mathrm{1}−\frac{{t}}{{n}}\right)^{{n}} \:{e}^{−\mathrm{3}{t}} \:{dt} \\ $$ Answered by mathmax by abdo last…
Question Number 94654 by msup by abdo last updated on 20/May/20 $${prove}\:{that}\:\sum_{{i}=\mathrm{1}} ^{{n}} \:{x}_{{i}} {y}_{{i}} \leqslant\left(\sum_{{i}=\mathrm{1}} ^{{n}} {x}_{{i}} ^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} \left(\sum_{{i}=\mathrm{1}} ^{{n}} {y}_{{i}} ^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}}…
Question Number 94657 by msup by abdo last updated on 20/May/20 $${let}\:{u}_{{n}} \:=\sum_{{k}=\mathrm{1}} ^{{n}} \frac{\mathrm{1}}{\left(^{{p}} \sqrt{{k}}\right)} \\ $$$${detetmine}\:{a}\:{equivalent}\:{of}\:{u}_{{n}} \\ $$$$\left({n}\rightarrow+\infty\right) \\ $$$$ \\ $$ Terms…
Question Number 94655 by msup by abdo last updated on 20/May/20 $${solve}\:\left(\mathrm{1}+{nz}\right)^{{p}} +\left(\mathrm{1}−{nz}\right)^{{p}} \:=\mathrm{0} \\ $$$${n}\:{and}\:{p}\:{ontegr}\:{natural} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 94652 by msup by abdo last updated on 20/May/20 $${find}\:{lim}_{\xi\rightarrow\mathrm{0}} \:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\:\frac{{sin}\left(\xi{x}\right)}{\:\sqrt{\mathrm{1}+\xi{x}^{\mathrm{2}} }−\sqrt{\mathrm{1}−\xi{x}^{\mathrm{2}} }}{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 94648 by msup by abdo last updated on 20/May/20 $${find}\:{a}\:{equivslent}\:{for} \\ $$$${u}_{{n}} =\mathrm{1}\:+\mathrm{2}^{\alpha} \:+\mathrm{3}^{\alpha} \:+….+{n}^{\alpha} \\ $$$${n}\rightarrow+\infty\:\:\:\:\:\:\:\:\:\left(\alpha>\mathrm{0}\right) \\ $$ Terms of Service Privacy…