Category: Limits

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)} \…

Question Number 4589 by FilupSmith last updated on 09/Feb/16 $$a_n=\sqrt{2+a_{n-1}}$$$$a_1=\sqrt{2}$$$$$$$$L=\underset{n\to \mathrm{\infty }}{\lim }{a}_n=\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\dots }}}}$$$$L=?$$…

Question Number 135586 by BHOOPENDRA last updated on 14/Mar/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 135571 by bemath last updated on 14/Mar/21 $$\underset{k=1}{\sum ^{\mathrm{\infty }}}\frac{k}{{(k+1)}^2+8}=?$$ Commented by EDWIN88 last updated on 14/Mar/21 $$\mathrm{i}\:\mathrm{guess}\:\mathrm{the}\:\mathrm{series}\:\mathrm{should}\:\mathrm{be}\:\underset{\mathrm{k}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{k}}{\left(\mathrm{k}^{\mathrm{2}}…

Question Number 4448 by Rasheed Soomro last updated on 29/Jan/16 $$\underset{x\to 0}{lim}\frac{3e^x-e^{-x}-2}{x}=?$$ Answered by Yozzii last updated on 29/Jan/16 $${One}\:{approach}\:{can}\:{involve}\:{the}\:{use}\:{of} \…