Question Number 152287 by john_santu last updated on 27/Aug/21 $$\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}} \mathrm{x}\right)^{\frac{\mathrm{6}}{\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}}} \:=? \\ $$ Answered by iloveisrael last updated on 27/Aug/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}}…
Question Number 21194 by vivek last updated on 15/Sep/17 $$.\:\underset{{x}\rightarrow\mathrm{2}^{+} } {\mathrm{li}{m}}\:\left\{\frac{\left[{x}\right]^{\mathrm{3}} }{\mathrm{3}}\:−\left[\:\frac{{x}}{\mathrm{3}}\right]^{\mathrm{3}} \right\}\:{is}\:{equal}\:{to}\:… \\ $$$$ \\ $$ Commented by vivek last updated on 16/Sep/17…
Question Number 21179 by Joel577 last updated on 15/Sep/17 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\sqrt{\mathrm{16}{x}^{\mathrm{2}} \:+\:\mathrm{4}{x}}\:−\:\sqrt{{x}^{\mathrm{2}} }\:−\:\sqrt{\mathrm{9}{x}^{\mathrm{2}} \:+\:\mathrm{3}{x}} \\ $$ Answered by dioph last updated on 15/Sep/17 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:{x}\sqrt{\mathrm{16}+\frac{\mathrm{4}}{{x}}}\:−\:{x}\:−\:{x}\sqrt{\mathrm{9}+\frac{\mathrm{3}}{{x}}}…
Question Number 152239 by Tawa11 last updated on 26/Aug/21 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{1}\:\:+\:\:\mathrm{a}^{\mathrm{n}} \right)^{\frac{\mathrm{1}}{\mathrm{n}}} \:\:\:\:\:\:\:\:\:\:\left[\mathrm{for}\:\:\:\:\:\:\:\mathrm{a}\:\:<\:\:\mathrm{0},\:\:\:\:\:\:\:\:\:\:\mathrm{a}\:\:>\:\:\mathrm{0}\right] \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 152211 by nitu last updated on 26/Aug/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} } \\ $$$$\mathrm{should}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{be}\:\infty\:\mathrm{or}\:\mathrm{is}\:\mathrm{it}\:\mathrm{DNE}. \\ $$$$\mathrm{my}\:\mathrm{main}\:\mathrm{question}\:\mathrm{is}, \\ $$$$\mathrm{when}, \\ $$$$\underset{{x}\rightarrow\mathrm{a}} {\mathrm{lim}}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\infty\: \\ $$$$\mathrm{does}\:\mathrm{it}\:\mathrm{not}\:\mathrm{exist}?\:\mathrm{is}\:\mathrm{it}\:\mathrm{DNE}? \\ $$…
Question Number 86655 by jagoll last updated on 30/Mar/20 $$\underset{{x}\rightarrow−\mathrm{1}^{+} } {\mathrm{lim}}\:\frac{\sqrt{\pi}\:−\sqrt{\mathrm{arc}\:\mathrm{cos}\:\mathrm{x}}}{\:\sqrt{\mathrm{x}+\mathrm{1}}} \\ $$ Answered by john santu last updated on 30/Mar/20 $$\mathrm{L}'\mathrm{hopital}\:\mathrm{rule} \\ $$$$\underset{{x}\rightarrow−\mathrm{1}^{+}…
Question Number 86603 by Ar Brandon last updated on 29/Mar/20 $$\underset{{x}\rightarrow−\mathrm{1}} {\mathrm{lim}}\frac{{e}^{{x}} }{\left(\mathrm{1}+{x}\right)^{{n}} } \\ $$ Commented by abdomathmax last updated on 29/Mar/20 $${let}\:{f}\left({x}\right)=\frac{{e}^{{x}} }{\left(\mathrm{1}+{x}\right)^{{n}}…
Question Number 152061 by mnjuly1970 last updated on 25/Aug/21 $$ \\ $$$$\:\:\:{solve} \\ $$$$\:\:\:\: \\ $$$$\:\Omega=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\:{sin}^{\:\mathrm{3}} \left({x}\right).{cos}^{\:\mathrm{2}} \left({x}\right)}{{x}^{\:\mathrm{3}} }{dx}\overset{?} {=}\frac{\mathrm{7}\pi}{\mathrm{32}}…\blacksquare \\ $$ Answered…
Question Number 152026 by alcohol last updated on 25/Aug/21 Commented by mr W last updated on 25/Aug/21 $${one} \\ $$ Terms of Service Privacy Policy…
Question Number 86416 by spdmp last updated on 28/Mar/20 $$\sqrt{\mathrm{8}=} \\ $$$$\left.\mathrm{68}\right] \\ $$$$ \\ $$ Commented by john santu last updated on 28/Mar/20 $$??\%\%…