Category: Limits

Question Number 74580 by chess1 last updated on 26/Nov/19 Answered by mind is power last updated on 26/Nov/19 $$\sqrt{1+\mathrm{t}}=1+\frac{\mathrm{t}}{2}+\mathrm{o}\left(\mathrm{t}\right)\Rightarrow \sqrt{{\mathrm{x}}^2+1}=1+\frac{{\mathrm{x}}^2}{2}+\mathrm{o}\left({\mathrm{x}}^2\right)$$$$\sqrt[{\mathrm{3}}]{\left(\mathrm{t}+\mathrm{1}\right)}=\mathrm{1}+\frac{\mathrm{t}}{\mathrm{3}}+\mathrm{o}\left(\mathrm{t}\right)\Rightarrow\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }=\mathrm{1}+\frac{\mathrm{x}^{\mathrm{2}}…

Question Number 74508 by isra.pm07nov@gmail.com last updated on 25/Nov/19 $$li=\stackrel{-}{x}-t_v,\frac{\alpha }{2}.\left(\frac{s}{\sqrt{n}}\right)$$$$ls=\stackrel{-}{x}+t_v,\frac{\alpha }{2}.\left(\frac{s}{\sqrt{n}}\right)$$$$$$ Terms of Service Privacy Policy…

Question Number 8938 by tawakalitu last updated on 06/Nov/16 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 74383 by aliesam last updated on 23/Nov/19 Commented by mathmax by abdo last updated on 23/Nov/19 $$A\left(x\right)=\frac{16\sqrt{x-\sqrt{x}}-3\sqrt{2}x-4\sqrt{2}}{16{(x-4)}^2}letusehospitaltheoremletf\left(x\right)=16\sqrt{x-\sqrt{x}}-3\sqrt{2}x-4\sqrt{2}$$$${and}\:{g}\left({x}\right)=\mathrm{16}\left({x}−\mathrm{4}\right)^{\mathrm{2}} \:\:{we}\:{have}\:{f}^{'} \left({x}\right)=\mathrm{16}\frac{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}\sqrt{{x}}}}{\mathrm{2}\sqrt{{x}−\sqrt{{x}}}}\:−\mathrm{3}\sqrt{\mathrm{2}} \…

Question Number 8628 by sou1618 last updated on 18/Oct/16 $$isitalwayssatisfying?$$$$\mathit{A}=\lim [n\to \mathrm{\infty }]\int f(n,x)dx$$$$\mathit{B}=\int \lim [n\to \mathrm{\infty }]f(n,x)dx$$$$A=B??$$$$pleaseshowcounterexample$$$$$$$$$$$${checking} \…