Category: Limits

Question Number 4964 by ankit chakravarti last updated on 27/Mar/16 $$\underset{x\to 0}{lim}\frac{(1-\cos 2x)\cdot (3+\cos x)}{x\cdot \tan 4x}=?$$$$$$ Answered by FilupSmith last updated on 29/Mar/16 Commented by…

Question Number 70364 by 20190927 last updated on 03/Oct/19 $$\mathrm{solve}\mathrm{L}=\underset{x\to 0}{\lim }\frac{{\mathrm{e}}^{\mathrm{x}}-\frac{1}{1-\mathrm{x}}}{{\mathrm{x}}^2}$$ Commented by kaivan.ahmadi last updated on 03/Oct/19 $${lim}_{{x}\rightarrow\mathrm{0}} \frac{\left(\mathrm{1}−{x}\right){e}^{{x}} −\mathrm{1}}{{x}^{\mathrm{2}}…

Question Number 4681 by thachan last updated on 21/Feb/16 $${\int }_4^{\cos \prod _4}(x^2+3ax-5\tan \left(x\right))dx$$ Commented by prakash jain last updated on 21/Feb/16 $${is}\:{the}\:{upper}\:{limit}\:\mathrm{cos}\:\frac{\pi}{\mathrm{4}}?…

Question Number 135742 by mohssinee last updated on 15/Mar/21 Commented by mohssinee last updated on 15/Mar/21 $$helpme!$$ Answered by mathmax by abdo last…

Question Number 4587 by FilupSmith last updated on 09/Feb/16 $$L=\underset{i\to \mathrm{\infty }}{\lim }\frac{{(-1)}^{i+1}i}{i+1}$$$$L=?$$ Commented by Yozzii last updated on 14/Feb/16 $${L}\:{does}\:{not}\:{exist}.\:{While}\:\mid{L}\mid=\underset{{i}\rightarrow\infty} {\mathrm{lim}}\frac{{i}}{{i}+\mathrm{1}}…