Category: Limits

Question Number 83329 by john santu last updated on 01/Mar/20 $$\underset{x\to 0}{\lim }\frac{({\mathrm{e}}^{-2\mathrm{x}}-(1+\mathrm{ax}))}{{\mathrm{x}}^2(1+\mathrm{bx})}=?$$ Commented by jagoll last updated on 01/Mar/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{bx}}\:×\:\underset{{x}\rightarrow\mathrm{0}}…

Question Number 148849 by EDWIN88 last updated on 31/Jul/21 $$\underset{x\to 0^{+}}{\lim }\frac{x^3-\cos \sqrt{x}\sin {}^{2}x}{x^2}=?$$ Answered by iloveisrael last updated on 01/Aug/21 $$\:\underset{{x}\rightarrow\mathrm{0}^{+}…

Question Number 83287 by Power last updated on 29/Feb/20 Answered by mr W last updated on 29/Feb/20 $$\sin x=x-\frac{x^3}{3!}+\frac{x^5}{5!}-\dots ..$$$$\frac{\mathrm{sin}\:{x}}{{x}}=\mathrm{1}−\frac{{x}^{\mathrm{2}} }{\mathrm{3}!}+\frac{{x}^{\mathrm{4}} }{\mathrm{5}!}−….. \…

Question Number 148792 by Snail last updated on 31/Jul/21 $$li\underset{x\to 0}{m}\lfloor {tan}^{2}x\rfloor ..evaluatethelimitusingsqueeze$$$$theorem.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 83074 by ~blr237~ last updated on 27/Feb/20 $$findallfunctionsatisfying\mathrm{\forall }x\in \mathbb{R}\mathrm{\setminus }\{k\pi ,k\in \mathbb{Z}\}$$$$f\left(x\right)+{\int }_0^1{f}^2\left(x\right)dx=\frac{x}{sin\left(\pi x\right)}$$ Commented by mr W last updated on 28/Feb/20…