Category: Limits

Question Number 32345 by abdo imad last updated on 23/Mar/18 $$calculate{lim}_{n\to \mathrm{\infty }}\sum _{i=1}^n\sum _{j=1}^n\frac{{(-1)}^{i+j}}{i+j}.$$ Terms of Service Privacy Policy Contact:…

Question Number 32298 by abdo imad last updated on 22/Mar/18 $$findtbenatureof\sum _{n⩾2}\frac{1}{n{\left(ln\left(n\right)\right)}^2}.$$ Commented by abdo imad last updated on 01/Apr/18 $$\:{let}\:{put}\:\varphi\left({t}\right)\:=\:\frac{\mathrm{1}}{{t}\left({lnt}\right)^{\mathrm{2}} }\:{with}\:{t}\geqslant\mathrm{2}\:\:{we}\:{have}…

Question Number 32296 by abdo imad last updated on 22/Mar/18 $$let{u}_n=\frac{{(n+1)}^{\alpha }-n^{\alpha }}{n^{\alpha -1}}with\alpha >1find{lim}_{n\to \mathrm{\infty }}{u}_n.$$ Terms of Service Privacy Policy Contact:…

Question Number 32286 by abdo imad last updated on 22/Mar/18 $$calculate{lim}_{x\to 0}\frac{\frac{e^x}{\sqrt{1+x}}-1-\frac{x}{2}}{x^2}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 32279 by abdo imad last updated on 22/Mar/18 $$find{lim}_{x\to 0}\frac{{tan}^{2}x}{(1-cosx)}.\frac{e^x-1}{x}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com