Question Number 153154 by liberty last updated on 05/Sep/21 $$\:\:\underset{{x}\rightarrow{y}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left({e}^{{x}} \right)−\mathrm{sin}\:\left({e}^{{y}} \right)}{{x}−{y}}=? \\ $$ Answered by bramlexs22 last updated on 05/Sep/21 $$\:\:\underset{{x}\rightarrow\mathrm{y}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left(\mathrm{e}^{\mathrm{x}} \right)−\mathrm{sin}\:\left(\mathrm{e}^{\mathrm{y}}…
Question Number 87462 by mathocean1 last updated on 04/Apr/20 $$\mathrm{Calculate}\:\:\:\:\:\:\:\:\mathrm{li}\underset{\mathrm{x}\rightarrow\mathrm{1}} {\mathrm{m}f}\left({x}\right)=\frac{{sin}\left({x}−\mathrm{1}\right)}{\mathrm{3}{x}−\mathrm{3}} \\ $$$${please}\:{detail}\:{sirs} \\ $$ Commented by jagoll last updated on 04/Apr/20 $$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left(\mathrm{x}−\mathrm{1}\right)}{\mathrm{3x}−\mathrm{3}}\:? \\…
Question Number 87358 by john santu last updated on 04/Apr/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\: \\ $$$$\mathrm{integral}\:\mathrm{values}\:\mathrm{of}\:\mathrm{y}\:\mathrm{for}\:\mathrm{which}? \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{y}^{\mathrm{2}} +\mathrm{10y}−\mathrm{24}\:\mathrm{sin}\:\left(\frac{\mathrm{1}}{\mathrm{x}}\right)}{\mathrm{y}^{\mathrm{2}} +\mathrm{10y}\:−\mathrm{24}\:\mathrm{sin}\:\left(\frac{\mathrm{2}}{\mathrm{x}}\right)}\: \\ $$$$\mathrm{does}\:\mathrm{not}\:\mathrm{exist} \\ $$ Terms of Service…
Question Number 21811 by drbl.gnbd last updated on 04/Oct/17 $${a}_{\mathrm{1}} =\mathrm{1},\:{a}_{{n}+\mathrm{1}} =\frac{{a}_{{n}} }{\:\sqrt{{a}_{{n}} +{n}+\mathrm{1}}} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{a}_{{n}} =? \\ $$ Commented by Ranjiy kumar…
Question Number 87243 by john santu last updated on 03/Apr/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}−\:\mathrm{sin}\:{x}}{\:\sqrt{\left(\mathrm{1}−\mathrm{cos}\:{x}\right)^{{p}} }}\:=\:{k}\: \\ $$$${k}\:=\:{constant}\:,\:\mathrm{find}\:\mathrm{p}\: \\ $$ Commented by jagoll last updated on 04/Apr/20 $$\underset{{x}\rightarrow\mathrm{0}}…
Question Number 152768 by liberty last updated on 01/Sep/21 $$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{5x}+\mathrm{1}}{−\mathrm{5x}+\mathrm{2}}\right)^{\mathrm{1}+\mathrm{2x}} =? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 87168 by mathocean1 last updated on 03/Apr/20 $${Calculate}\:{these}\:{limits}: \\ $$$${Please}\:{sirs}\:{detail}\: \\ $$ Commented by john santu last updated on 03/Apr/20 $$\left.\mathrm{a}\right)\:\mathrm{change}\:\mathrm{x}\:\Rightarrow−\mathrm{t}\: \\ $$$$\underset{\mathrm{t}\rightarrow\infty}…
Question Number 87153 by jagoll last updated on 03/Apr/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{e}^{\mathrm{x}} +\mathrm{e}^{−\mathrm{x}} −\mathrm{2}}{\mathrm{x}^{\mathrm{2}} } \\ $$ Commented by john santu last updated on 03/Apr/20 $$\underset{{x}\rightarrow\mathrm{0}}…
Question Number 87105 by Chi Mes Try last updated on 02/Apr/20 Commented by mathmax by abdo last updated on 03/Apr/20 $${let}\:{f}\left({x}\right)=\frac{{x}}{{x}−\mathrm{1}}−\frac{\mathrm{1}}{{lnx}}\:\Rightarrow{f}\left({x}\right)=\frac{{xln}\left({x}\right)−{x}+\mathrm{1}}{\left({x}−\mathrm{1}\right){ln}\left({x}\right)}\:{we}\:{do}\:{the}\:{changement} \\ $$$${x}−\mathrm{1}\:={t}\:\Rightarrow{f}\left({x}\right)=\frac{\left({t}+\mathrm{1}\right){ln}\left(\mathrm{1}+{t}\right)+\mathrm{1}−\left({t}+\mathrm{1}\right)}{{tln}\left(\mathrm{1}+{t}\right)}={g}\left({t}\right) \\ $$$$=\frac{\left({t}+\mathrm{1}\right){ln}\left(\mathrm{1}+{t}\right)−{t}}{{tln}\left(\mathrm{1}+{t}\right)}\:\:\left({x}\rightarrow\mathrm{1}\:\Rightarrow{t}\rightarrow\mathrm{0}\right)\:{so}…
Question Number 152620 by Tawa11 last updated on 30/Aug/21 Commented by Tawa11 last updated on 30/Aug/21 $$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$ Answered by Olaf_Thorendsen last updated on…