Question Number 168821 by mathlove last updated on 18/Apr/22 $$\underset{{x}\rightarrow{a}} {\mathrm{lim}}\frac{{a}^{{x}} −{a}^{{n}} }{{nln}\left({x}\right)−{nln}\left({a}\right)}=? \\ $$ Answered by alephzero last updated on 18/Apr/22 $$\underset{{x}\rightarrow{a}} {\mathrm{lim}}\frac{{a}^{{x}} −{a}^{{n}}…
Question Number 103286 by bemath last updated on 14/Jul/20 $$\sqrt[{\mathrm{3}}]{\frac{\mathrm{1}}{\mathrm{9}}}−\sqrt[{\mathrm{3}}]{\frac{\mathrm{2}}{\mathrm{9}}}+\:\sqrt[{\mathrm{3}}]{\frac{\mathrm{4}}{\mathrm{9}}}\:=\:? \\ $$ Commented by bemath last updated on 14/Jul/20 $${yes}.\:{thank}\:{both} \\ $$ Answered by floor(10²Eta[1])…
Question Number 103278 by bachamohamed last updated on 13/Jul/20 $$\:\:\:\:\:\underset{\boldsymbol{{k}}=\mathrm{0}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\boldsymbol{{k}}!\left(\boldsymbol{{k}}^{\mathrm{4}} +\boldsymbol{{k}}^{\mathrm{2}} +\mathrm{1}\right)}=? \\ $$ Commented by Dwaipayan Shikari last updated on 13/Jul/20 $$\mathrm{By}\:\mathrm{ratio}\:\mathrm{test}\:\mathrm{it}\:\mathrm{converges}\:\mathrm{sir}!…
Question Number 168813 by safojontoshtemirov last updated on 18/Apr/22 Answered by aleks041103 last updated on 18/Apr/22 $${We}\:{can}\:{add}\:{and}/{or}\:{subtract}\:{different} \\ $$$${rows}\:{from}\:{each}\:{other}\:{without}\:{changing} \\ $$$${the}\:{determinant}. \\ $$$$\Rightarrow{d}_{{n}} =\begin{vmatrix}{\mathrm{1}}&{\mathrm{1}}&{\mathrm{1}}&{\ldots}&{\mathrm{1}}&{\mathrm{1}}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{2}}&{\ldots}&{\mathrm{2}}&{\mathrm{2}}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{3}}&{\ldots}&{\mathrm{3}}&{\mathrm{3}}\\{\vdots}&{\vdots}&{\vdots}&{\ddots}&{\vdots}&{\vdots}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{3}}&{\ldots}&{{n}−\mathrm{1}}&{{n}−\mathrm{1}}\\{\mathrm{1}}&{\mathrm{2}}&{\mathrm{3}}&{\ldots}&{{n}−\mathrm{1}}&{{n}}\end{vmatrix} \\…
Question Number 103254 by Study last updated on 13/Jul/20 $$\:\mathrm{2}^{\mathrm{3}{x}} −{f}\left({x}+\mathrm{4}\right)={k}\centerdot{f}\left({x}\right)\:\:\:\:\:;\:\:\:{k}=???? \\ $$ Commented by Study last updated on 14/Jul/20 $${who}\:{can}\:{help}\:{me}? \\ $$ Commented by…
Question Number 103260 by 675480065 last updated on 13/Jul/20 Answered by Rio Michael last updated on 13/Jul/20 $$\:\begin{cases}{{u}_{\mathrm{0}} \:=\:\mathrm{1}}\\{{u}_{{n}+\mathrm{1}} \:=\:\frac{\mathrm{2}{u}_{{n}} {v}_{{n}} }{{u}_{{n}} +\:{v}_{{n}} }}\end{cases}\:\mathrm{and}\:\begin{cases}{{v}_{\mathrm{0}} \:=\:\mathrm{2}}\\{{v}_{{n}+\mathrm{1}\:}…
Question Number 103253 by Study last updated on 13/Jul/20 $$\:\sqrt[{{i}}]{{i}}=????? \\ $$ Answered by Dwaipayan Shikari last updated on 13/Jul/20 $${i}^{\frac{\mathrm{1}}{{i}}} ={i}^{−{i}} \:\:\:\:\left(\frac{\mathrm{1}}{{i}}=\frac{{i}}{{i}^{\mathrm{2}} }=−{i}\right) \\…
Question Number 168781 by Oktamboy last updated on 17/Apr/22 Commented by Oktamboy last updated on 17/Apr/22 $${Bularniyam}\:{ko}'{rib}\:{beringlar}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 168753 by mathlove last updated on 17/Apr/22 $$\int\frac{{dx}}{\:\sqrt{{sin}^{−\mathrm{1}} \left({x}\right)}}=? \\ $$ Commented by safojontoshtemirov last updated on 17/Apr/22 $${Eliptik}\:{integral} \\ $$ Terms of…
Question Number 168734 by Shrinava last updated on 16/Apr/22 Terms of Service Privacy Policy Contact: info@tinkutara.com