Question Number 155120 by mnjuly1970 last updated on 25/Sep/21 $$ \\ $$$$\:\:\:{lim}_{\:{x}\:\rightarrow\mathrm{0}} \left(\frac{\mathrm{1}}{{x}^{\:\mathrm{2}} }\:−\:{cot}^{\:\mathrm{2}} \left({x}\right)\right)=? \\ $$$$ \\ $$ Answered by john_santu last updated on…
Question Number 89576 by M±th+et£s last updated on 18/Apr/20 $${is}\:\:\underset{{x}\rightarrow{a}} {{lim}}\lfloor{f}\left({x}\right)\rfloor=\lfloor\underset{{x}\rightarrow{a}\:} {{lim}}\:{f}\left({x}\right)\rfloor\: \\ $$ Commented by mr W last updated on 18/Apr/20 $${i}\:{think}\:{no}. \\ $$$${example}\:{f}\left({x}\right)=\frac{\mathrm{sin}\:{x}}{{x}}…
Question Number 89540 by M±th+et£s last updated on 17/Apr/20 $$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{{cos}\left({x}^{\mathrm{2}} \right)−\mathrm{1}+\frac{{x}^{\mathrm{4}} }{\mathrm{2}}}{{x}^{\mathrm{2}} \left({x}−{sin}\left({x}\right)\right)^{\mathrm{2}} } \\ $$ Commented by abdomathmax last updated on 17/Apr/20 $${let}\:{f}\left({x}\right)=\frac{{cos}\left({x}^{\mathrm{2}}…
Question Number 89510 by Ar Brandon last updated on 17/Apr/20 $${Find}\:{the}\:{expansion}\:{of}\:{Xe}^{\frac{\mathrm{1}}{{x}}} \: \\ $$ Commented by mathmax by abdo last updated on 18/Apr/20 $${we}\:{have}\:{e}^{{u}} \:=\sum_{{n}=\mathrm{0}}…
Question Number 89490 by Henri Boucatchou last updated on 17/Apr/20 $$\underset{{x}\rightarrow\infty} {{lim}xlnxln}\left(\frac{{ln}\left({x}+\mathrm{1}\right)}{{lnx}}\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 89341 by Henri Boucatchou last updated on 17/Apr/20 $$\underset{{n}\rightarrow\infty} {{lim}}\sqrt[{{n}}]{\underset{{k}=\mathrm{1}} {\overset{{n}−\mathrm{1}} {\prod}}{sin}\left(\frac{{k}\pi}{\mathrm{2}{n}}\right)}=? \\ $$ Commented by Henri Boucatchou last updated on 17/Apr/20 $$\boldsymbol{{Check}}\:\:\boldsymbol{{once}}\:\:\boldsymbol{{more}}\:\:\boldsymbol{{Sir}},\:\:\:\boldsymbol{{ln}}\underset{{i}}…
Question Number 23777 by anoop7760@gmail.com last updated on 06/Nov/17 $${please}\:{solve}\:{question}\:{no}\:\mathrm{23764}\:{and}\:\mathrm{23765} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 23764 by Anoop kumar last updated on 05/Nov/17 $$\underset{{x}\rightarrow\propto} {\mathrm{lim}}\:\frac{\left(\mathrm{2}^{{x}^{{n}} } \overset{\mathrm{1}/{e}^{{x}} } {\right)}−\left(\mathrm{3}^{{x}^{{n}} } \right)^{\mathrm{1}/{e}^{{x}} } }{{x}^{{n}} } \\ $$$${where}\:{n}\varepsilon{N} \\ $$$$…