Question Number 28981 by abdo imad last updated on 02/Feb/18 $${find}\:{the}\:{values}\:{of}\:\prod_{{n}=\mathrm{2}} ^{\infty} \left(\mathrm{1}−\frac{\mathrm{2}}{{n}\left({n}+\mathrm{1}\right)}\right)\:. \\ $$ Commented by abdo imad last updated on 03/Feb/18 $$\prod_{{n}=\mathrm{2}} ^{\infty}…
Question Number 28977 by abdo imad last updated on 02/Feb/18 $${let}\:{give}\:{u}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:{a}_{{k}} ^{\mathrm{2}} \:\:\:\:\:{with}\:\left({a}_{{k}} \right)\:{sequence}\:{of}\:{reals}/{a}_{{k}>\mathrm{0}} \\ $$$${and}\:{v}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{{a}_{{k}} }{{k}}\:.\:{prove}\:{that}\:{u}_{{n}} {converges}\Rightarrow\left({v}_{{n}} \right){converges}…
Question Number 28978 by abdo imad last updated on 02/Feb/18 $${let}\:{give}\:{p}\:{from}\:{R}\:{study}\:{the}\:{convergence}\:{of} \\ $$$$\prod_{{k}=\mathrm{1}} ^{\infty} \:\left(\mathrm{1}+{k}^{−{p}} \right)\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28858 by amit96 last updated on 31/Jan/18 Commented by abdo imad last updated on 31/Jan/18 $${we}\:{have}\:{f}\left({x}\right)={x}^{\mathrm{3}} +{x}\:{and}\:{g}\left({x}\right)={x}^{\mathrm{3}} −{x}\Rightarrow \\ $$$${f}^{'} \left({x}\right)=\mathrm{3}{x}^{\mathrm{2}} +\mathrm{1}\:{and}\:{g}^{'} \left({x}\right)=\mathrm{3}{x}^{\mathrm{2}}…
Question Number 94382 by frc2crc last updated on 18/May/20 $${a}_{{n}+\mathrm{1}} =\sqrt{{k}+\sqrt{{a}_{{n}} }}\:\:\:\:{a}_{\mathrm{0}} =\sqrt{{k}} \\ $$$${how}\:{do}\:{you}\:{solve}\:{for}\:{k}? \\ $$$${Only}\:{Equation}\:{please}\:{no}\:{value} \\ $$$${for}\:{k} \\ $$ Commented by prakash jain…
Question Number 94374 by Jidda28 last updated on 18/May/20 $$\mathrm{In}\:\mathrm{7yrs},\:\mathrm{Haidar}\:\mathrm{senior}\:\mathrm{Kani}\:\mathrm{with}\:\mathrm{3yrs}. \\ $$$$\mathrm{In}\:\mathrm{the}\:\mathrm{next}\:\mathrm{4yrs}\:\mathrm{Haidar}\:\mathrm{again}\:\mathrm{seniors}\:\mathrm{Kani} \\ $$$$\mathrm{with}\:\mathrm{2yrs}.\:\mathrm{How}\:\mathrm{old}\:\mathrm{is}\:\mathrm{Haidar}\:\mathrm{and}\:\mathrm{Kani}? \\ $$ Commented by Rasheed.Sindhi last updated on 18/May/20 $${If}\:\:{in}\:\mathrm{7}{yrs}\:{Haidar}\:{senior}\:{Kani} \\…
Question Number 94366 by i jagooll last updated on 18/May/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}\:\mathrm{if}\:\mathrm{f}\left({x}+\mathrm{1}\right)\:=\:{x}^{\mathrm{2}} −\mathrm{1} \\ $$$${g}\left({x}\right)=\:\mathrm{2}{x}+\mathrm{7}\:\mathrm{and}\:{f}\left({g}^{−\mathrm{1}} \left({x}\right)\right)=\:\mathrm{3}\: \\ $$ Commented by mr W last updated on 18/May/20…
Question Number 94340 by mathmax by abdo last updated on 20/May/20 $$\left.\mathrm{1}\right)\:\mathrm{calculate}\:\mathrm{U}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{ln}\left(\mathrm{x}\right)\mathrm{ln}\left(\mathrm{1}−\frac{\mathrm{x}}{\mathrm{n}}\right)\mathrm{dx}\:\:\:\:\:\:\left(\mathrm{n}>\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\mathrm{find}\:\mathrm{nature}\:\mathrm{of}\:\:\Sigma\:\mathrm{U}_{\mathrm{n}} \mathrm{and}\:\Sigma\mathrm{nU}_{\mathrm{n}} \\ $$ Answered by abdomathmax last updated…
Question Number 94338 by mathmax by abdo last updated on 18/May/20 $${developp}\:{at}\:{intergr}\:{serie}\:{f}\left({x}\right)\:=\frac{\mathrm{1}}{\left({x}+\mathrm{3}\right)\left({x}^{\mathrm{2}} \:+\mathrm{4}\right)} \\ $$ Answered by mathmax by abdo last updated on 18/May/20 $$\mathrm{fist}\:\mathrm{let}\:\mathrm{find}\:\mathrm{f}^{\left(\mathrm{n}\right)}…
Question Number 94336 by mathmax by abdo last updated on 19/May/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\mathrm{arctan}\left(\mathrm{2x}\right)\:\mathrm{e}^{−\mathrm{3x}} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{determine}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{x}\right)\:\mathrm{and}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{integr}\:\mathrm{serie} \\ $$ Answered by prakash jain last…