Category: Limits

Question Number 136258 by EDWIN88 last updated on 20/Mar/21 $$\underset{x\to 2\mathrm{a}}{\lim }\frac{\sqrt{\mathrm{x}-2\mathrm{a}}+\sqrt{\mathrm{x}}-\sqrt{2\mathrm{a}}}{\sqrt{{\mathrm{x}}^2-{4\mathrm{a}}^2}}=?\mathrm{where}\mathrm{a}>0$$ Answered by liberty last updated on 20/Mar/21 $$\:{L}'{H}\ddot {{o}pital}\: \…

Question Number 136093 by mnjuly1970 last updated on 18/Mar/21 $$\dots ..nicecalculus\dots ..$$$$calculate::$$$${lim}_{n\to \mathrm{\infty }}\frac{1}{\sqrt{n}}\underset{k=1}{\sum ^n}{cos}^{2n}\left(\frac{k\pi }{n}\right)=??$$$$$$ Terms of Service…

Question Number 136026 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{calculate}{\lim }_{\mathrm{x}\to 0}\frac{\sin (1-\mathrm{cosx})-\mathrm{xcos}({\mathrm{x}}^2-\mathrm{x})}{{\mathrm{x}}^3}$$ Commented by yutytfjh67ihd last updated on 25/Mar/21 Terms…

Question Number 4712 by paonky last updated on 28/Feb/16 $$\underset{x\to 0}{\lim }\frac{e^{1-\sin x}-e^{1-\tan x}}{\tan x-\sin x}=?$$ Answered by Yozzii last updated on 28/Feb/16 $${Let}\:{l}=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{e}^{\mathrm{1}−{sinx}} −{e}^{\mathrm{1}−{tanx}}…

Question Number 4674 by thachan last updated on 20/Feb/16 $$x^2+5x+2=0$$ Answered by FilupSmith last updated on 20/Feb/16 $$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$$${x}=\frac{−\mathrm{5}\pm\sqrt{\mathrm{25}−\mathrm{4}\left(\mathrm{1}\right)\left(\mathrm{2}\right)}}{\mathrm{2}\left(\mathrm{1}\right)} \…