Question Number 192617 by mechanics last updated on 23/May/23 Answered by a.lgnaoui last updated on 23/May/23 $$\mathrm{0} \\ $$ Answered by Skabetix last updated on…
Question Number 127085 by mnjuly1970 last updated on 26/Dec/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…{nice}\:\:{calculus}… \\ $$$$\:{prove}\:{that}:: \\ $$$$\:\:\:{lim}_{\:{n}\rightarrow\infty} \left(\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\frac{{k}}{{n}}\right)^{{n}} \right)=\frac{{e}}{{e}−\mathrm{1}} \\ $$$$ \\ $$ Commented by mnjuly1970…
Question Number 192616 by mechanics last updated on 23/May/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 192573 by senestro last updated on 21/May/23 $${solve}; \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}{x}^{\mathrm{2}} {tan}\left(\frac{{sin}\pi{x}}{\mathrm{2}{x}}\right) \\ $$$${solution} \\ $$$${let}\:{L}=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}{x}^{\mathrm{2}} {tan}\left(\frac{{sin}\pi{x}}{\mathrm{2}{x}}\right) \\ $$$${since}\:{sinx}\sim{x}−\frac{{x}^{\mathrm{3}} }{\mathrm{6}}\: \\ $$$${L}=\underset{{x}\rightarrow\mathrm{0}}…
Question Number 192549 by cortano12 last updated on 20/May/23 $$\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{x}^{\mathrm{2}} \:\mathrm{tan}\:\left(\frac{\mathrm{sin}\:\pi\mathrm{x}}{\mathrm{2x}}\right)\:=? \\ $$ Answered by horsebrand11 last updated on 20/May/23 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}^{\mathrm{2}} \:\mathrm{tan}\:\left(\frac{\mathrm{sin}\:\pi{x}}{\mathrm{2}{x}}\right) \\…
Question Number 127009 by BHOOPENDRA last updated on 26/Dec/20 $${f}\left({x},{y}\right)=\left\{\frac{\mathrm{2}{x}\left({x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }\:\:\:\:,\left({x},{y}\right)\neq\left(\mathrm{0},\mathrm{0}\right)\right. \\ $$$$\left\{\mathrm{0}\:\:\:\:,\left({x},{y}\right)=\left(\mathrm{0},\mathrm{0}\right)\right. \\ $$$${check}\:{continuity} \\ $$ Answered by Olaf last updated…
Question Number 127002 by bramlexs22 last updated on 26/Dec/20 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2}+\mathrm{cos}\:\left(\mathrm{3}{x}\right)−\mathrm{3csch}\:\left({x}\right)}{\mathrm{ln}\:\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}\:=? \\ $$ Commented by Evimene last updated on 26/Dec/20 $$ \\ $$$$\:\: \\…
Question Number 126923 by bramlexs22 last updated on 25/Dec/20 $$\:\:\underset{{x}\rightarrow\mathrm{2}^{−} } {\mathrm{lim}}\frac{{x}−\mathrm{2cos}\:\sqrt{\mathrm{2}−{x}}}{\left(\mathrm{2}−{x}\right)^{\mathrm{2}} }\:=\:? \\ $$ Answered by bemath last updated on 25/Dec/20 Terms of Service…
Question Number 192433 by cortano12 last updated on 18/May/23 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{cos}\:\left(\mathrm{ln}\:\left(\mathrm{3x}+\mathrm{1}\right)\right)}{\mathrm{3x}^{\mathrm{6}} −\mathrm{tan}\:\left(\mathrm{3x}^{\mathrm{2}} \right)}=? \\ $$ Answered by mehdee42 last updated on 18/May/23 $${tip}\::{if}\:\:{u}\rightarrow\mathrm{0} \\ $$$$\Rightarrow\mathrm{1}−{cosu}\sim\frac{\mathrm{1}}{\mathrm{2}}{u}^{\mathrm{2}}…
Question Number 61363 by bhanukumarb2@gmail.com last updated on 01/Jun/19 Answered by tanmay last updated on 02/Jun/19 $${N}_{{r}} =\mathrm{2}^{\mathrm{2}{b}_{{n}} } −\mathrm{2}^{\mathrm{1}+{b}_{{n}} } .\mathrm{3}^{{b}_{{n}} } +\mathrm{3}^{\mathrm{2}{b}_{{n}} }…