Category: Limits

Question Number 152287 by john_santu last updated on 27/Aug/21 $$\underset{x\to 0}{\lim }{(1-\tan {}^2\mathrm{x})}^{\frac{6}{\sin {}^2\mathrm{x}}}=?$$ 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 21179 by Joel577 last updated on 15/Sep/17 $$\underset{x\to \mathrm{\infty }}{\lim }\sqrt{16x^2+4x}-\sqrt{x^2}-\sqrt{9x^2+3x}$$ 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 152211 by nitu last updated on 26/Aug/21 $$\underset{x\to 0}{\lim }\frac{1}{{\mathrm{x}}^2}$$$$\mathrm{should}\mathrm{the}\mathrm{answer}\mathrm{be}\mathrm{\infty }\mathrm{or}\mathrm{is}\mathrm{it}\mathrm{DNE}.$$$$\mathrm{my}\mathrm{main}\mathrm{question}\mathrm{is},$$$$\mathrm{when},$$$$\underset{x\to \mathrm{a}}{\lim }\mathrm{f}\left(\mathrm{x}\right)=\mathrm{\infty }$$$$\mathrm{does}\mathrm{it}\mathrm{not}\mathrm{exist}?\mathrm{is}\mathrm{it}\mathrm{DNE}?$$…

Question Number 86603 by Ar Brandon last updated on 29/Mar/20 $$\underset{x\to -1}{\lim }\frac{e^x}{{(1+x)}^n}$$ 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 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…