Category: Limits

Question Number 190679 by mathlove last updated on 09/Apr/23 $$\underset{x\to \mathrm{\infty }}{\lim }\frac{e^x}{x^{60!}}=?$$$$pleassolvethis$$ Answered by Frix last updated on 09/Apr/23 $$\frac{\mathrm{e}^{{x}}…

Question Number 59542 by Mikael_Marshall last updated on 11/May/19 $$\underset{x\to 0}{lim}\frac{\ln \left(\mathrm{cosx}\right)}{{\mathrm{x}}^2}$$$$Ihaveadoubt$$ Commented by kaivan.ahmadi last updated on 11/May/19 $${hop} \…

Question Number 125049 by bramlexs22 last updated on 08/Dec/20 $$\underset{x\to 0}{\lim }\frac{{(2+\cos \left(3x\right)-3\cosh \left(x\right))}^4}{\ln (1+x^2)}?$$ Answered by Olaf last updated on 08/Dec/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\left(\mathrm{2}+\mathrm{cos3}{x}−\mathrm{3cosh}{x}\right)^{\mathrm{4}} }{\mathrm{ln}\left(\mathrm{1}+{x}^{\mathrm{2}}…

Question Number 190521 by Rupesh123 last updated on 04/Apr/23 Answered by mehdee42 last updated on 04/Apr/23 $$8+88+888+\dots +888\dots 8=8(\frac{10-1}{9}+\frac{{10}^2-1}{9}+\dots +\frac{{10}^n-1}{9})$$$$=\frac{\mathrm{8}}{\mathrm{9}}\left(\mathrm{10}+\mathrm{10}^{\mathrm{2}} +…+\mathrm{10}^{{n}} −{n}\right)=\frac{\mathrm{8}}{\mathrm{9}}\left(\frac{\mathrm{10}^{{n}+\mathrm{1}} −\mathrm{10}}{\mathrm{9}}−{n}\right) \…

Question Number 59393 by Mikael_Marshall last updated on 09/May/19 $$\text{Missing left or extra right}$$$$pls.$$ Commented by maxmathsup by imad last…