Question Number 72071 by aliesam last updated on 23/Oct/19 $$\left.{a}\right)\underset{{x}\rightarrow\mathrm{0}} {\:{lim}}\frac{\mathrm{3}{x}−{sin}\left(\mathrm{2}{x}\right)}{\mathrm{2}{x}−{sin}\left(\mathrm{3}{x}\right)} \\ $$$$ \\ $$$$ \\ $$ Commented by mathmax by abdo last updated on…
Question Number 71991 by ozodbek last updated on 23/Oct/19 Answered by mind is power last updated on 23/Oct/19 $$\mathrm{worcking}\:\mathrm{for}\:\mathrm{this}\:\mathrm{one} \\ $$$$ \\ $$ Terms of…
Question Number 137482 by Algoritm last updated on 03/Apr/21 Answered by MJS_new last updated on 03/Apr/21 $$\mathrm{0} \\ $$ Commented by Algoritm last updated on…
Question Number 6407 by FilupSmith last updated on 26/Jun/16 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{evaluate}: \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(−\mathrm{1}\right)^{{x}} {x} \\ $$$$ \\ $$$$\mathrm{WolframAlpha}\:\mathrm{writes}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{as} \\ $$$$={e}^{\mathrm{2}{i}\:\:\mathrm{to}\:\:\pi} \infty \\ $$ Commented by…
Question Number 6405 by FilupSmith last updated on 26/Jun/16 $$\mathrm{How}\:\mathrm{would}\:\mathrm{you}\:\mathrm{find}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{of}: \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:{x}^{\mathrm{3}} −\left({x}−\mathrm{1}\right)^{\mathrm{3}} \\ $$ Commented by FilupSmith last updated on 26/Jun/16 $$\mathrm{Do}\:\mathrm{you}\:\mathrm{have}\:\mathrm{to}\:\mathrm{expand}\:\mathrm{and}\:\mathrm{simplify}? \\…
Question Number 71894 by 20190927 last updated on 21/Oct/19 $$\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\left(\mathrm{sin}\:\mathrm{x}\right)^{\mathrm{tanx}} \\ $$ Commented by kaivan.ahmadi last updated on 21/Oct/19 $$={e}^{{lim}_{{x}\rightarrow\frac{\pi}{\mathrm{2}}} \left({sinx}−\mathrm{1}\right){tanx}} ={e}^{{lim}_{{x}\rightarrow\frac{\pi}{\mathrm{2}}} \frac{{sinx}−\mathrm{1}}{{cotx}}} =\:\:…
Question Number 6335 by FilupSmith last updated on 24/Jun/16 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{show}\:\mathrm{me}\:\mathrm{why}: \\ $$$$\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}−\frac{\mathrm{1}}{\mathrm{4}}+…=\mathrm{ln}\left(\mathrm{2}\right) \\ $$$$\mathrm{or} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{{n}}=\mathrm{ln}\left(\mathrm{2}\right) \\ $$ Terms of Service Privacy…
Question Number 6247 by Yozzii last updated on 20/Jun/16 $${Show}\:{that},\:\forall{x}\in\mathbb{R},\:{the}\:{sequence}\:\left\{{f}\left({n}\right)\right\}_{\mathrm{0}} ^{\infty} \\ $$$${defined}\:{by}\:{f}\left(\mathrm{0}\right)={cosx},\:{f}\left(\mathrm{1}\right)={sin}\left({cosx}\right)\:{and} \\ $$$${f}\left({n}\right)=\begin{cases}{{sin}\left({cos}\left({f}\left({n}−\mathrm{2}\right)\right)\right)\:\:{if}\:{n}\geqslant\mathrm{3}\:{is}\:{odd}}\\{{cos}\left({sin}\left({f}\left({n}−\mathrm{2}\right)\right)\right)\:\:{if}\:{n}\geqslant\mathrm{2}\:{is}\:{even},}\end{cases} \\ $$$${converges}\:{to}\:{a}\:{limit}\:{l}\in\left(\mathrm{0}.\mathrm{6},\mathrm{0}.\mathrm{7}\right). \\ $$$${If}\:{you}\:{can},\:{determine}\:{the}\:{exact}\:{value} \\ $$$${of}\:{l}. \\ $$ Commented by…
Question Number 71777 by Henri Boucatchou last updated on 19/Oct/19 $$\:\:\underset{\boldsymbol{{n}}\rightarrow\infty} {\boldsymbol{{lim}}}\:\left(\frac{\boldsymbol{{n}}!\:+\:\mathrm{3}^{\boldsymbol{{n}}} }{\boldsymbol{{n}}^{\boldsymbol{{n}}} \:+\:\mathrm{3}^{\boldsymbol{{n}}} }\right)\:=\:? \\ $$ Commented by mathmax by abdo last updated on…
Question Number 71767 by psyche last updated on 19/Oct/19 $${Let}\:{f}\:{be}\:{continuous}\:{on}\:{a}\:{closed}\:{and}\:{bounded}\:{subset}\:{E},\:{then}\:{show}\:{that}\:{f}\:{is}\:{uniformly}\:{continuous}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com