Question Number 74863 by mrS last updated on 02/Dec/19 Commented by abdomathmax last updated on 03/Dec/19 $${we}\:{have}\:{S}=\sum_{{n}=\mathrm{1}} ^{\mathrm{45}} \:\frac{\mathrm{1}}{{n}^{\mathrm{2}} }\:=\sum_{{p}=\mathrm{1}} ^{\left[\frac{\mathrm{45}}{\mathrm{2}}\right]} \:\:\frac{\mathrm{1}}{\left(\mathrm{2}{p}\right)^{\mathrm{2}} }\:+\sum_{{p}=\mathrm{0}} ^{\left[\frac{\mathrm{45}−\mathrm{1}}{\mathrm{2}}\right]} \:\frac{\mathrm{1}}{\left(\mathrm{2}{p}+\mathrm{1}\right)^{\mathrm{2}}…
Question Number 140395 by dhgt last updated on 07/May/21 $${Q}\mathrm{135933} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 140384 by Willson last updated on 07/May/21 Answered by benjo_mathlover last updated on 07/May/21 $$\left(\mathrm{2}\right)\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\left(\mathrm{x}^{\mathrm{p}} +\mathrm{1}\right)^{\mathrm{n}} \left(\mathrm{x}^{\mathrm{q}} +\mathrm{1}\right)^{\mathrm{m}} −\mathrm{1}}{\mathrm{x}}\:= \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\left(\mathrm{1}+\mathrm{nx}^{\mathrm{p}}…
Question Number 74840 by aliesam last updated on 01/Dec/19 Commented by kaivan.ahmadi last updated on 01/Dec/19 $${a}^{\mathrm{4}} =\mathrm{1}\Rightarrow \\ $$$${b}^{\mathrm{4}} ={a}^{\mathrm{4}} =\mathrm{1}\Rightarrow{o}\left({b}\right)=\mathrm{4} \\ $$$$\left({a}^{\mathrm{2}} \right)^{\mathrm{2}}…
Question Number 140367 by aliibrahim1 last updated on 06/May/21 Answered by meetbhavsar25 last updated on 06/May/21 $${Answer}\:{is}\:\frac{\mathrm{9}}{\mathrm{25}}. \\ $$$${x}^{\mathrm{2}} \:{has}\:{minimum}\:{value}\:\mathrm{0}. \\ $$$${y}^{\mathrm{2}} \:{has}\:{minimum}\:{value}\:\mathrm{0}. \\ $$$$\left({z}−\mathrm{1}\right)^{\mathrm{2}}…
Question Number 74825 by liki last updated on 01/Dec/19 Commented by liki last updated on 01/Dec/19 $$…{Anyone}\:{to}\:{help}\:{me}\:! \\ $$ Commented by $@ty@m123 last updated on…
Question Number 9275 by geovane10math last updated on 27/Nov/16 $$\mathrm{About}\:\mathrm{the}\:\mathrm{Euler}-\mathrm{Mascheroni}\:\mathrm{Constant}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\gamma\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{1}}{\mathrm{1}\:−\:{x}}\:+\:\frac{\mathrm{1}}{\mathrm{ln}\:{x}}\:{dx} \\ $$$$\mathrm{We}\:\mathrm{can}\:\mathrm{see}\:\mathrm{that}\: \\ $$$$\:\mathrm{1}−\:{x}\:\neq\:\mathrm{0}\:\Leftrightarrow\:\mathrm{1}\:\neq\:{x}\:; \\ $$$${x}\:=\:\mathrm{0}\:\rightarrow\:\mathrm{ln}\:{x}\:\nexists\:. \\ $$$$\mathrm{If}\:{x}\:\neq\:\mathrm{0}\:\mathrm{and}\:{x}\:\neq\:\mathrm{1},\:\mathrm{in}\:\mathrm{the}\:\mathrm{Cartesian}\:\mathrm{Plane}, \\ $$$$\mathrm{this}\:\mathrm{function}\:\mathrm{has}\:\mathrm{singularity}\:{x}=\mathrm{0}\:{and}\:{x}=\mathrm{1}. \\…
Question Number 9274 by geovane10math last updated on 27/Nov/16 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{e}^{{t}} \:=\:{t} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 140344 by mathdave last updated on 06/May/21 $${it}\:{is}\:{assumed}\:{that}\:{when}\:{children}\:{are}\:{born}\:{they}\: \\ $$$${are}\:{equally}\:{likely}\:{to}\:{be}\:{boys}\:{or}\:{girls}. \\ $$$${what}\:{is}\:{the}\:{probability}\:{that}\:{a}\:{family} \\ $$$${of}\:{four}\:{children}\:{constains} \\ $$$$\left({a}\right){three}\:{boys}\:{and}\:{girl} \\ $$$$\left({b}\right){two}\:{boys}\:{and}\:{two}\:{girls} \\ $$$$\:{Mr}\:{W}\:{pls}\:{help}\:{out} \\ $$ Answered…
Question Number 140339 by mohammad17 last updated on 06/May/21 $$\int\frac{{dx}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{4}} }} \\ $$ Answered by Dwaipayan Shikari last updated on 06/May/21 $$\int\frac{{dx}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{4}} }}=\underset{{n}\geqslant\mathrm{0}} {\sum}\int\frac{\left(\frac{\mathrm{1}}{\mathrm{2}}\right)_{{n}} }{{n}!}\left(−{x}^{\mathrm{4}}…