Category: Limits

Question Number 15773 by Mahmoud A.R last updated on 13/Jun/17 $$\underset{h\to 0}{\lim }\frac{{\sin }^3(2x-2h)-{\sin }^3\left(2x\right)}{3h}$$ Answered by prakash jain last updated on 14/Jun/17 $$\:\frac{\mathrm{sin}^{\mathrm{3}}…

Question Number 146755 by metamorfose last updated on 15/Jul/21 $$\underset{p\to +\mathrm{\infty }}{\lim }\underset{k=1}{\sum ^{p-1}}\frac{2}{k^2{(p-k)}^2}=\dots ?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 81092 by ahmadshahhimat775@gmail.com last updated on 09/Feb/20 Commented by john santu last updated on 09/Feb/20 $$doyoumean\underset{n\to \mathrm{\infty }}{\lim }\frac{ln\left(n\right)}{2^n}?$$ Commented by msup…

Question Number 80983 by jagoll last updated on 08/Feb/20 $$if\underset{x\to 0}{\lim }\frac{{ae}^x-b\sin x+{ce}^{-x}}{x\sin x}=2$$$$whatisa+b+c?$$ Commented by jagoll last updated on 09/Feb/20 $${i}\:{can}'{t}\:{solved}\:{this}\:{equation}.\:…

Question Number 146376 by iloveisrael last updated on 13/Jul/21 $$\underset{x\to 0}{\lim }\frac{1-\cos \mathrm{x}\cos 2\mathrm{x}\cos 3\mathrm{x}\dots \cos \mathrm{px}}{{\mathrm{x}}^2}=?$$ Answered by gsk2684 last updated on 13/Jul/21 $$\frac{0}{0}form,apply{L}^{\prime }Hopitalrule$$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}\:{x}.\mathrm{cos}\:\mathrm{2}{x}…\mathrm{cos}\:{px}+\mathrm{cos}\:{x}.\left(\mathrm{2sin}\:\mathrm{2}{x}\right)\mathrm{cos}\:\mathrm{3}{x}…\mathrm{cos}\:{px}+..\:}{\mathrm{2}{x}}…