Category: Limits

Question Number 192616 by mechanics last updated on 23/May/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 192549 by cortano12 last updated on 20/May/23 $$\underset{x\to 0}{\lim }{\mathrm{x}}^2\tan \left(\frac{\sin \pi \mathrm{x}}{2\mathrm{x}}\right)=?$$ Answered by horsebrand11 last updated on 20/May/23 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}^{\mathrm{2}} \:\mathrm{tan}\:\left(\frac{\mathrm{sin}\:\pi{x}}{\mathrm{2}{x}}\right) \…

Question Number 127002 by bramlexs22 last updated on 26/Dec/20 $$\underset{x\to 0}{\lim }\frac{2+\cos \left(3x\right)-3\mathrm{csch}\left(x\right)}{\ln (1+x^2)}=?$$ Commented by Evimene last updated on 26/Dec/20 $$$$$$\:\: \…

Question Number 192433 by cortano12 last updated on 18/May/23 $$\underset{x\to 0}{\lim }\frac{1-\cos \left(\ln (3\mathrm{x}+1)\right)}{{3\mathrm{x}}^6-\tan \left({3\mathrm{x}}^2\right)}=?$$ Answered by mehdee42 last updated on 18/May/23 $$tip:ifu\to 0$$$$\Rightarrow\mathrm{1}−{cosu}\sim\frac{\mathrm{1}}{\mathrm{2}}{u}^{\mathrm{2}}…

Question Number 126824 by MathSh last updated on 24/Dec/20 $$\underset{x\to 2}{lim}\frac{f(x+2)-6}{x-2}=4if,\underset{x\to 4}{lim}\frac{4\cdot f\left(x\right)-24}{x-4}=?$$ Answered by mahdipoor last updated on 24/Dec/20 $$\underset{x\to 2}{lim}\frac{f(x+2)-6}{x-2}=\frac{f\left(4\right)-6}{0}=4\Rightarrow f\left(4\right)-6=0$$$$\overset{{L}'{hopital}\:}…