Category: Limits

Question Number 125722 by Mammadli last updated on 13/Dec/20 $$\underset{\mathit{x}\to \mathrm{\infty }}{\mathit{l}\mathit{i}\mathit{m}}{\left(\frac{3\mathit{x}+6}{3\mathit{x}+2}\right)}^{\mathit{x}+2}=?$$ Answered by liberty last updated on 13/Dec/20 $$letusdenoteh\left(x\right)=\frac{3x+6}{3x+2};r\left(x\right)=x+2$$$$\:\begin{cases}{\underset{{x}\rightarrow\infty} {\mathrm{lim}}{h}\left({x}\right)=\underset{{x}\rightarrow\infty}…

Question Number 125649 by bramlexs22 last updated on 12/Dec/20 $$\underset{x\to 0}{\lim }\frac{\ln (1+x\mathrm{arc}\tan x)+1-e^x}{\sqrt{1+2x^4}-1}?$$ Answered by Olaf last updated on 13/Dec/20 $$\mathrm{Let}\:{f}\left({x}\right)\:=\:\frac{\mathrm{ln}\left(\mathrm{1}+{x}\mathrm{arctan}{x}\right)+\mathrm{1}−{e}^{{x}} }{\:\sqrt{\mathrm{1}+\mathrm{2}{x}^{\mathrm{4}} }−\mathrm{1}}…

Question Number 191166 by Mingma last updated on 19/Apr/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 60006 by meme last updated on 17/May/19 $$li\underset{x\to 0}{m}\frac{x^x}{x}=?$$ Commented by maxmathsup by imad last updated on 17/May/19 $${let}\:{A}\left({x}\right)\:=\frac{{x}^{{x}} }{{x}}\:\:\:{for}\:{x}>\mathrm{0}\:\Rightarrow{A}\left({x}\right)\:=\frac{{e}^{{xln}\left({x}\right)}…

Question Number 59961 by bhanukumarb2@gmail.com last updated on 16/May/19 Commented by bhanukumarb2@gmail.com last updated on 16/May/19 $$iknowonemthdbystirlingapproximation$$$$plztryanyothermthd$$$$doubtwecanusecesarotheoramornt????$$$$$$…