Question Number 77616 by BK last updated on 08/Jan/20 Commented by MJS last updated on 08/Jan/20 $$\mathrm{are}\:\mathrm{you}\:\mathrm{serious}\:\mathrm{on}\:\mathrm{this}\:\mathrm{one}? \\ $$$$\mathrm{serious}\:\begin{pmatrix}{{BK}}\\{\mathrm{qu}.\:\mathrm{77616}}\end{pmatrix}\:=\mathrm{true}\:\Rightarrow\:{BK}\neq\mathrm{serious}\forall\mathrm{qu}.\in\mathbb{N}^{\bigstar} \\ $$ Commented by BK last…
Question Number 143148 by mathmax by abdo last updated on 10/Jun/21 $$\mathrm{find}\:\mathrm{v}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{0}} ^{\mathrm{n}} \:\frac{\mathrm{1}}{\mathrm{3k}+\mathrm{1}}\:\mathrm{interms}\:\mathrm{of}\:\mathrm{H}_{\mathrm{n}} \\ $$$$\mathrm{H}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\frac{\mathrm{1}}{\mathrm{k}} \\ $$ Terms of Service…
Question Number 143147 by mathmax by abdo last updated on 10/Jun/21 $$\mathrm{montrer}\:\mathrm{que}\:\mathrm{lasuite}\:\mathrm{U}_{\mathrm{n}} =\frac{\mathrm{H}_{\mathrm{n}} }{\mathrm{n}^{\mathrm{2}} }\:\mathrm{est}\:\mathrm{bornee} \\ $$$$\mathrm{H}_{\mathrm{n}} =\sum_{\mathrm{k}=\mathrm{1}} ^{\mathrm{n}} \:\frac{\mathrm{1}}{\mathrm{n}^{\mathrm{2}} } \\ $$ Commented by…
Question Number 142988 by mathmax by abdo last updated on 08/Jun/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{u}_{\mathrm{n}} \mathrm{wich}\:\mathrm{verify}\:\mathrm{u}_{\mathrm{n}} +\mathrm{u}_{\mathrm{n}+\mathrm{1}} =\frac{\mathrm{2}}{\:\sqrt{\mathrm{n}}} \\ $$$$\mathrm{give}\:\mathrm{a}\:\mathrm{equivalent}\:\mathrm{of}\:\mathrm{u}_{\mathrm{n}} \:\:\left(\mathrm{n}\rightarrow\infty\right) \\ $$ Terms of Service Privacy Policy…
Question Number 142987 by mathmax by abdo last updated on 08/Jun/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{u}_{\mathrm{n}} \mathrm{wich}\:\mathrm{verify}\:\mathrm{u}_{\mathrm{n}+\mathrm{1}} =\mathrm{u}_{\mathrm{n}} −\lambda\mathrm{u}_{\mathrm{n}−\mathrm{1}} \\ $$$$\lambda\:\mathrm{real} \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 142980 by mathmax by abdo last updated on 08/Jun/21 $$\mathrm{find}\:\mathrm{U}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\infty} \:\mathrm{e}^{−\mathrm{nx}^{\mathrm{2}} } \mathrm{log}\left(\mathrm{2}+\mathrm{e}^{\mathrm{x}} \right)\mathrm{dx}\:\:\:\left(\mathrm{n}\geqslant\mathrm{1}\right) \\ $$$$\mathrm{determine}\:\mathrm{nature}\:\mathrm{of}\:\Sigma\:\mathrm{U}_{\mathrm{n}} \:\mathrm{and}\:\Sigma\:\mathrm{nU}_{\mathrm{n}} \\ $$ Terms of…
Question Number 77367 by msup trace by abdo last updated on 05/Jan/20 $${let}\:{the}\:{cercle}\:\:\left({x}+\mathrm{1}\right)^{\mathrm{2}\:} +\left({y}−\mathrm{3}\right)^{\mathrm{2}} =\mathrm{9} \\ $$$${and}\:{the}\:{point}\:\:{A}\left(\mathrm{4},\mathrm{1}\right) \\ $$$${vrrify}\:{that}\:\:{A}\:\:{is}\:{out}\:{of}\:{circle} \\ $$$${and}\:\:{determine}\:{the}\:{equation}\:{of} \\ $$$${two}\:{tangentes}\:{to}\:{circle}\:{wich} \\ $$$${passes}\:{by}\:{point}\:{A}.…
Question Number 142869 by mathmax by abdo last updated on 06/Jun/21 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\:\frac{\mathrm{x}^{\mathrm{2}} \mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{3}\right)^{\mathrm{2}} } \\ $$ Answered by Ar Brandon last updated…
Question Number 142871 by mathmax by abdo last updated on 06/Jun/21 $$\mathrm{determine}\:\mathrm{arctan}\left(\mathrm{x}+\mathrm{iy}\right)\:\mathrm{at}\:\mathrm{form}\:\mathrm{u}\left(\mathrm{x},\mathrm{y}\right)+\mathrm{iv}\left(\mathrm{x},\mathrm{y}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 11608 by agni5 last updated on 29/Mar/17 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{xtan}^{−\mathrm{1}} \left(\frac{\mathrm{1}}{\mathrm{x}}\right)\:,\:\:\:\:\:\:\:\mathrm{x}\neq\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{0}\:,\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}=\mathrm{0} \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{f}\:\mathrm{is}\:\mathrm{countinous}\:\mathrm{but}\:\mathrm{not}\:\mathrm{differentiable} \\ $$$$\mathrm{at}\:\mathrm{x}=\mathrm{0}. \\ $$ Answered by mrW1 last updated on…