Question Number 23385 by paro123 last updated on 29/Oct/17 Commented by paro123 last updated on 29/Oct/17 $$\mathrm{8}.\left(\mathrm{ii}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 88896 by M±th+et£s last updated on 13/Apr/20 $${find}\: \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{{ln}\left({sin}\left(\mathrm{3}{x}\right)+{cos}\left(\mathrm{3}{x}\right)\right)}{{ln}\left({sin}\left({x}\right)+{cos}\left({x}\right)\right)} \\ $$ Commented by abdomathmax last updated on 13/Apr/20 $${let}\:{f}\left({x}\right)=\frac{{ln}\left({sin}\left(\mathrm{3}{x}\right)+{cos}\left(\mathrm{3}{x}\right)\right)}{{ln}\left({sinx}+{cosx}\right)}\:\:{we}\:{have} \\ $$$${sin}\left(\mathrm{3}{x}\right)+{cos}\left(\mathrm{3}{x}\right)\sim\mathrm{3}{x}\:+\mathrm{1}−\frac{\left(\mathrm{3}{x}\right)^{\mathrm{2}}…
Question Number 23348 by chernoaguero@gmail.com last updated on 29/Oct/17 Commented by chernoaguero@gmail.com last updated on 29/Oct/17 $$\mathrm{Plzz}\:\mathrm{help}\:\mathrm{me}\:\mathrm{to}\:\mathrm{explain}\:\mathrm{this}\:\mathrm{graph} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 154390 by liberty last updated on 18/Sep/21 $$\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\frac{{x}^{\mathrm{2}} {e}^{{x}} −\mathrm{4}{e}^{\mathrm{2}} }{{x}−\mathrm{2}}\:? \\ $$ Commented by puissant last updated on 18/Sep/21 $$=\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\left(\mathrm{2}{xe}^{{x}}…
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Question Number 154292 by mnjuly1970 last updated on 16/Sep/21 Answered by ARUNG_Brandon_MBU last updated on 16/Sep/21 $${S}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{n}}{\mathrm{3}\centerdot\mathrm{5}\centerdot\centerdot\centerdot\left(\mathrm{2}{n}+\mathrm{1}\right)}=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{n}\left(\mathrm{2}\centerdot\mathrm{4}\centerdot\mathrm{6}\centerdot\centerdot\centerdot\mathrm{2}{n}\right)}{\mathrm{2}\centerdot\mathrm{3}\centerdot\mathrm{4}\centerdot\mathrm{5}\centerdot\mathrm{6}\centerdot\centerdot\centerdot\left(\mathrm{2}{n}\right)\left(\mathrm{2}{n}+\mathrm{1}\right)} \\ $$$$\:\:\:=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{2}^{{n}}…
Question Number 154252 by EDWIN88 last updated on 16/Sep/21 $$\:\:{The}\:\left\{{x}_{{n}} \right\}\:{sequence}\:{is}\:{specified} \\ $$$$\:{by}\:{the}\:{conditions}\: \\ $$$$\:\:\begin{cases}{{x}_{\mathrm{1}} =\mathrm{1982}}\\{{x}_{{n}+\mathrm{1}} =\frac{\mathrm{1}}{\mathrm{4}−{x}_{{n}} },{n}\geqslant\mathrm{0}}\end{cases} \\ $$$$\:{find}\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}{x}_{{n}} . \\ $$ Terms…
Question Number 88580 by jagoll last updated on 11/Apr/20 $$ \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}+\mathrm{4x}}\:−\sqrt[{\mathrm{3}\:\:}]{\mathrm{1}+\mathrm{6x}}}{\mathrm{1}−\mathrm{cos}\:\mathrm{3x}}\:= \\ $$ Commented by mathmax by abdo last updated on 11/Apr/20 $${let}\:{f}\left({x}\right)=\frac{\sqrt{\mathrm{1}+\mathrm{4}{x}}−^{\mathrm{3}}…
Question Number 23012 by A1B1C1D1 last updated on 25/Oct/17 Commented by ajfour last updated on 25/Oct/17 $${i}\:{had}\:{solved}\:{your}\:{previous}\: \\ $$$${question}\:\int_{\mathrm{0}} ^{\:\:\mathrm{2}} \int_{{y}/\mathrm{2}} ^{\:\:\mathrm{1}} {e}^{{x}^{\mathrm{2}} } {dxdy}\:=?…
Question Number 154081 by iloveisrael last updated on 14/Sep/21 $$\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\sqrt[{\mathrm{5}}]{\mathrm{32}{x}^{\mathrm{5}} −\mathrm{14}{x}^{\mathrm{4}} +\mathrm{3}}−\sqrt[{\mathrm{7}}]{\mathrm{128}{x}^{\mathrm{7}} +\mathrm{6}{x}^{\mathrm{6}} −\mathrm{1}}\:=? \\ $$ Answered by EDWIN88 last updated on 14/Sep/21 $$\:\underset{{x}\rightarrow\infty}…