Category: Limits

Question Number 137820 by bramlexs22 last updated on 07/Apr/21 $$\underset{x\to \pi /2}{\lim }\frac{(1-\tan \frac{x}{2})(1-\sin x)}{(1+\tan \frac{x}{2}){(\pi -2x)}^3}?$$ Answered by SLVR last updated on 07/Apr/21 Commented by SLVR last…

Question Number 137773 by Ajadiazeemolamilekan last updated on 06/Apr/21 $$\underset{x\to 0}{\lim }\frac{\cos px-\cos qx}{x^2}$$ Answered by bemath last updated on 06/Apr/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{−\mathrm{2sin}\:\left(\frac{{p}+{q}}{\mathrm{2}}\:{x}\right)\mathrm{sin}\:\left(\frac{{p}−{q}}{\mathrm{2}}\:{x}\right)}{{x}^{\mathrm{2}} } \…

Question Number 6689 by Tawakalitu. last updated on 13/Jul/16 $$limit1+\frac{1}{1-x}$$$$x⇢\mathrm{\infty }$$ Answered by FilupSmith last updated on 14/Jul/16 $$\underset{x\to \mathrm{\infty }}{\lim }1+\frac{1}{1-x}=1+\frac{1}{1-\mathrm{\infty }}$$$$=\mathrm{1}−\frac{\mathrm{1}}{\infty}…

Question Number 72218 by aliesam last updated on 26/Oct/19 Commented by turbo msup by abdo last updated on 26/Oct/19 $$letA\left(x\right)={\left(\frac{sinx}{x}\right)}^{\frac{1}{x^2}}\Rightarrow$$$${A}\left({x}\right)={e}^{\frac{\mathrm{1}}{{x}^{\mathrm{2}} }{ln}\left(\frac{{sinx}}{{x}}\right)}…

Question Number 6668 by janzmir6996 last updated on 10/Jul/16 $$\underset{x\to 0}{\lim cos}2x/\sin x2$$ Commented by Rasheed Soomro last updated on 10/Jul/16 $${Do}\:{you}\:{mean}\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\mathrm{cos}\:\mathrm{2}{x}/\mathrm{sin}\:{x}^{\mathrm{2}} \:\:\:? \…