Category: Limits

Question Number 167002 by qaz last updated on 04/Mar/22 $$\mathrm{calculate}::\underset{\mathrm{t}\to \mathrm{\infty }}{\lim 8}{\int }_0^{\pi /2}{\mathrm{e}}^{\mathrm{x}}\cdot \sin \left(\mathrm{tx}\right)\cdot \sin \left(2\mathrm{tx}\right)\cdot \cos \left(3\mathrm{tx}\right)\cdot \cos \left(4\mathrm{tx}\right)\mathrm{dx}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 101422 by john santu last updated on 02/Jul/20 $$\underset{\mathrm{h}\to 0}{\lim }\frac{\sin \left({(\alpha +\mathrm{h})}^2\right)-\sin \left({\alpha }^2\right)}{\cos ({(\alpha +\mathrm{h})}^2\sin (\alpha +\mathrm{h})-\cos \left({\alpha }^2\right)\sin \left(\alpha \right)}=?$$ Commented by john santu last updated on…

Question Number 166922 by qaz last updated on 02/Mar/22 $$\mathrm{calculate}:\underset{\mathrm{x}\to 1}{\lim }\frac{{(1+\mathrm{x})}^{\frac{1}{\mathrm{x}}}{(1+\frac{1}{\mathrm{x}})}^{\mathrm{x}}-4}{{(\mathrm{x}-1)}^2}=\ln 16-3$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 101366 by bobhans last updated on 02/Jul/20 $$\underset{x\to 0}{\lim }\frac{x^3-\sin {}^{3}x}{x^5}=?$$ Commented by Dwaipayan Shikari last updated on 02/Jul/20 $$\underset{{x}\rightarrow\mathrm{0}}…

Question Number 35736 by rahul 19 last updated on 22/May/18 $$\underset{x\to 0}{\lim }\frac{\ln (\sec \left(ex\right)\sec \left(e^{2}x\right)\dots \dots \sec \left(e^{50}x\right))}{e^2-e^{2\cos x}}=?$$ Answered by tanmay.chaudhury50@gmail.com last updated on 23/May/18…