Category: Limits

Question Number 153722 by EDWIN88 last updated on 09/Sep/21 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{tan}\:{x}+{x}\:\mathrm{sec}\:{x}−\mathrm{sin}\:{x}−{x}}{{x}^{\mathrm{3}} \:\mathrm{cos}\:{x}}\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 88092 by ar247 last updated on 08/Apr/20 $$\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\left(\frac{\mathrm{1}}{{x}}−\frac{\mathrm{1}}{\mathrm{sin}\:{x}}\right) \\ $$ Commented by ar247 last updated on 08/Apr/20 $${please}\:{help} \\ $$ Commented…

Question Number 153598 by liberty last updated on 08/Sep/21 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}cos}\:\left({n}\pi\:\sqrt[{\mathrm{2}{n}}]{{e}}\:\right)=? \\ $$ Commented by tabata last updated on 08/Sep/21 $$\boldsymbol{{y}}=\:\boldsymbol{{n}\pi}\:\sqrt[{\mathrm{2}\boldsymbol{{n}}}]{\boldsymbol{{e}}}\: \\ $$$$ \\ $$$$\boldsymbol{{lim}}_{\boldsymbol{{y}}\rightarrow\infty}…

Question Number 153518 by Tawa11 last updated on 08/Sep/21 $$\mathrm{Show}\:\mathrm{whether}\:\:\:\underset{\mathrm{n}\:\:=\:\:\mathrm{1}} {\overset{\infty} {\sum}}\:\left(\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{3}\:\:\:\:+\:\:\:\mathrm{n}^{\mathrm{2}} \mathrm{x}^{\mathrm{2}} }\right)\:\:\:\:\:\mathrm{is}\:\mathrm{uniformly}\:\mathrm{convegence}\:\mathrm{for}\:\mathrm{real} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{x}. \\ $$ Answered by puissant last updated on…

Question Number 153449 by liberty last updated on 07/Sep/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{3}{x}\right)}−\sqrt[{\mathrm{3}}]{\mathrm{1}−\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{3}{x}\right)}}{\:\sqrt{\mathrm{1}−\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{2}{x}\right)}−\sqrt{\mathrm{1}+\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{2}{x}\right)}}\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com