Question Number 169480 by TOTTI last updated on 01/May/22 Answered by MikeH last updated on 01/May/22 $$\left(\mathrm{a}\right)\:\underset{{x}\rightarrow\mathrm{1}^{−} } {\mathrm{lim}}\:\mathrm{g}\left({x}\right)\:=\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:{x}\:=\:\mathrm{1} \\ $$$$\left(\mathrm{b}\right)\:\underset{{x}\rightarrow\mathrm{1}^{+} } {\mathrm{lim}}\:\mathrm{g}\left({x}\right)\:=\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\left(\mathrm{2}−{x}^{\mathrm{2}}…
Question Number 169479 by cortano1 last updated on 01/May/22 $$\:\:\:\underset{{x}\rightarrow\mathrm{4}} {\mathrm{lim}}\:\frac{\left(\mathrm{cos}\:{a}\right)^{{x}} −\left(\mathrm{sin}\:{a}\right)^{{x}} −\mathrm{cos}\:\mathrm{2}{a}}{{x}−\mathrm{4}}\:=? \\ $$ Commented by infinityaction last updated on 01/May/22 $${use}\:{l}\:{hospital}\:{rule} \\ $$$$\:\:\:\:\:{p}\left({let}\right)\:\:=\:\underset{{x}\rightarrow\mathrm{0}}…
Question Number 169412 by mathlove last updated on 29/Apr/22 Commented by mathlove last updated on 30/Apr/22 $${any}\:{one}\:{is}\:{answer}\:{for}\:{this} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 169294 by cortano1 last updated on 28/Apr/22 Commented by qaz last updated on 28/Apr/22 $$\mathrm{Same}\:\mathrm{as}\::\:\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}\:\mathrm{tan}\:\mathrm{x}−\mathrm{tan}\:\mathrm{sin}\:\mathrm{x}}{\mathrm{x}^{\mathrm{7}} }=−\frac{\mathrm{1}}{\mathrm{14}} \\ $$ Commented by cortano1 last…
Question Number 103749 by bobhans last updated on 17/Jul/20 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{2}^{{n}} \:\mathrm{sin}\:\left(\frac{\pi}{\mathrm{2}^{{n}} }\right)\:=\:? \\ $$ Answered by bramlex last updated on 17/Jul/20 $${set}\:{x}\:=\:\frac{\pi}{\mathrm{2}^{{n}} }\:\Rightarrow\mathrm{2}^{{n}} \:=\:\frac{\pi}{{x}}\:;{x}\rightarrow\mathrm{0}…
Question Number 38206 by prof Abdo imad last updated on 22/Jun/18 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\frac{{x}\:{coth}\left({x}\right)−\mathrm{1}}{{x}^{\mathrm{2}} } \\ $$ Commented by math khazana by abdo last updated on…
Question Number 169273 by cortano1 last updated on 27/Apr/22 $$\:\:\:\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\int_{\mathrm{1}} ^{\:{x}} \left(\sqrt{\mathrm{4}{x}^{\mathrm{2}} +\mathrm{6}{x}−\mathrm{2}}−\mathrm{2}{x}\right){dx}}{\mathrm{5}{x}}\:=? \\ $$ Answered by qaz last updated on 28/Apr/22 $$\underset{\mathrm{x}\rightarrow+\infty} {\mathrm{lim}}\frac{\int_{\mathrm{1}}…
Question Number 169272 by cortano1 last updated on 27/Apr/22 Commented by greougoury555 last updated on 27/Apr/22 $$\:=\:\frac{\mathrm{3}}{\mathrm{2}} \\ $$ Commented by infinityaction last updated on…
Question Number 169242 by Skabetix last updated on 26/Apr/22 Answered by Skabetix last updated on 26/Apr/22 $${please}\:{help} \\ $$ Answered by kowalsky78 last updated on…
Question Number 169204 by mathlove last updated on 26/Apr/22 $${if}\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{{x}^{\mathrm{2}} −{ax}+{b}}{{x}−\mathrm{1}}=\mathrm{5} \\ $$$${faind}\:{volve}\:{of}\:{a}+{b}=? \\ $$$$ \\ $$ Commented by Rasheed.Sindhi last updated on 26/Apr/22…