Category: Limits

Question Number 132356 by Raxreedoroid last updated on 13/Feb/21 $$\underset{n\to \mathrm{\infty }}{\lim }(\frac{x^n}{n!}+\frac{1}{2{\left(\ln 2\right)}^n})=?,x\in \mathbb{R}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 132321 by Raxreedoroid last updated on 13/Feb/21 $$\underset{n\to \mathrm{\infty }}{\lim }\frac{\cos \left(x\ln k\right)}{{\left(\ln k\right)}^n\sqrt{k}}=?$$$$\mathrm{where}k,n\in \mathbb{N},x\in \mathbb{R}$$ Answered by Dwaipayan Shikari last updated on 13/Feb/21 $$\underset{{n}\rightarrow\infty}…

Question Number 132240 by bemath last updated on 12/Feb/21 $$\underset{x\to 0}{\lim }\frac{\tan (2\mathrm{x}+\frac{\pi }{4})-2\tan (\mathrm{x}+\frac{\pi }{4})+\tan \frac{\pi }{4}}{\sin (2\mathrm{x}+\frac{\pi }{4})-2\sin (\mathrm{x}+\frac{\pi }{4})+\sin \frac{\pi }{4}}?$$$$$$ Answered by EDWIN88 last updated on 13/Feb/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2sec}\:^{\mathrm{2}} \left(\mathrm{2x}+\frac{\pi}{\mathrm{4}}\right)−\mathrm{2sec}\:^{\mathrm{2}}…

Question Number 66620 by Mohamed Amine Bouguezzoul last updated on 18/Aug/19 $$find\underset{n\to \mathrm{\infty }}{\lim }{I}_n$$$$I_n={\int }_0^{\mathrm{\infty }}\frac{dx}{{(1+\coth \left(nx\right))}^n},n⩾1$$$$$$ Commented by…

Question Number 132138 by benjo_mathlover last updated on 11/Feb/21 $$\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }(\frac{{(1+\frac{1}{\mathrm{n}})}^{\mathrm{n}}}{{(1-\frac{1}{\mathrm{n}})}^{\mathrm{n}}}-{\mathrm{e}}^2){\mathrm{n}}^2=?$$ Answered by EDWIN88 last updated on 11/Feb/21 $$\mathrm{L}=\mathrm{e}^{\mathrm{2}}…