Category: Limits

Question Number 174715 by infinityaction last updated on 09/Aug/22 $$\underset{x\to \mathrm{\infty }}{\lim cos}\left(\frac{\pi }{4}\right)\cos \left(\frac{\pi }{8}\right)\dots \cos \left(\frac{\pi }{2^{n+1}}\right)$$ Answered by abdullahoudou last updated on 09/Aug/22 $$\mathrm{cos}\:\left(\frac{\pi}{\mathrm{2}^{{n}} }\right)=\mathrm{sin}\:\left(\frac{\pi}{\mathrm{2}^{{n}−\mathrm{1}} }\right)\frac{\mathrm{1}}{\mathrm{2sin}\:\left(\pi/\mathrm{2}^{{n}} \right)}…

Question Number 109139 by bemath last updated on 21/Aug/20 $$\underset{x\to -\mathrm{\infty }}{\lim }(1-x)\sin \mid 2x-2\mid ?$$ Commented by kaivan.ahmadi last updated on 21/Aug/20 $$x\to -\mathrm{\infty }\Rightarrow 2x-2\to -\mathrm{\infty }\Rightarrow \mid 2x-2\mid \to +\mathrm{\infty }\Rightarrow$$$$-1⩽sin\mid 2x-2\mid ⩽1isanelementofRwe$$$${say}\:{a}.…

Question Number 109091 by bemath last updated on 21/Aug/20 $$\frac{△\mathrm{♭}e\mathcal{M}ath▽}{\equiv ⊸\equiv ⊸\equiv }$$$$\underset{x\to \pi }{\lim }\frac{\sin x}{\sqrt{\pi +\tan x}-\sqrt{\pi -\tan x}}?$$ Answered by bobhans last updated on 21/Aug/20 Commented by bobhans…

Question Number 109067 by n0y0n last updated on 20/Aug/20 Answered by Aziztisffola last updated on 20/Aug/20 $$\sin \left(\mathrm{x}\right)\ln \left({\cot }^2\left(\mathrm{x}\right)\right)=\sin \left(\mathrm{x}\right)\ln \left(\frac{{\cos }^2\left(\mathrm{x}\right)}{{\sin }^2\left(\mathrm{x}\right)}\right)$$$$\:=\mathrm{sin}\left(\mathrm{x}\right)\left(\mathrm{ln}\left(\mathrm{cos}^{\mathrm{2}} \left(\mathrm{x}\right)\right)−\mathrm{sin}\left(\mathrm{x}\right)\mathrm{ln}\left(\mathrm{sin}^{\mathrm{2}} \left(\mathrm{x}\right)\right)\right. \…

Question Number 108999 by 150505R last updated on 20/Aug/20 Terms of Service Privacy Policy Contact: info@tinkutara.com