Category: Limits

Question Number 107028 by bemath last updated on 08/Aug/20 $$@bemath@$$$$\underset{x\to \mathrm{\infty }}{\lim }{(2+3x)}^{\frac{1}{4x-2}}$$ Commented by kaivan.ahmadi last updated on 08/Aug/20 $${y}=\left(\mathrm{2}+\mathrm{3}{x}\right)^{\frac{\mathrm{1}}{\mathrm{4}{x}−\mathrm{2}}} \Rightarrow{lny}=\frac{{ln}\left(\mathrm{2}+\mathrm{3}{x}\right)}{\mathrm{4}{x}−\mathrm{2}}\Rightarrow{lim}_{{x}\rightarrow\infty} {lny}=…

Question Number 41431 by Tawa1 last updated on 07/Aug/18 Commented by tanmay.chaudhury50@gmail.com last updated on 08/Aug/18 $$f\left(x\right)=\frac{x^2+4lnx+ln3}{x^2-5x+3}$$$$1)D\left(x\right)=x^2-5x+3$$$${finding}\:{zeroes}\:{for}\:{x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{3}…

Question Number 172468 by mathlove last updated on 27/Jun/22 Commented by mokys last updated on 28/Jun/22 $$=\:\frac{\left(\mathrm{3}!!\right)^{\mathrm{3}!!} \:−\:\left(\mathrm{3}^{\mathrm{3}!!} \right)}{\mathrm{3}^{\mathrm{3}!} \:−\:\mathrm{3}^{\mathrm{6}!!} }\:=\:\frac{\mathrm{3}^{\mathrm{3}} \:−\:\mathrm{3}^{\mathrm{3}} }{\mathrm{3}^{\mathrm{3}!} \:−\:\mathrm{3}^{\mathrm{6}!!} }\:=\:\mathrm{0}…

Question Number 172409 by cortano1 last updated on 26/Jun/22 $$\underset{x\to 0}{\lim }\frac{\sqrt[\sin x]{1+2\sin x}-\sqrt[\tan x]{1+\tan x}}{2x^3}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 106842 by bobhans last updated on 07/Aug/20 $$\circ \mathrm{bobhans}\circ$$$$\underset{x\to 0}{\lim }\frac{\sqrt[3]{1+\sin 4\mathrm{x}}-\cos 2\mathrm{x}}{\mathrm{x}\tan \mathrm{x}}?$$ Commented by bemath last updated on 07/Aug/20 $$\mathrm{the}\mathrm{limit}\mathrm{is}\mathrm{DNE}$$…