Question Number 219832 by mnjuly1970 last updated on 02/May/25 $$ \\ $$$$\:\:\:\:\:{lim}_{{n}\rightarrow\infty} \:{n}\left(\frac{\mathrm{1}}{\mathrm{1}+{n}}\:+\frac{\mathrm{1}}{\mathrm{2}+{n}}\:+…+\frac{\mathrm{1}}{\mathrm{2}{n}}\:−{ln}\left(\mathrm{2}\right)\right)=? \\ $$$$ \\ $$ Answered by universe last updated on 03/May/25 Commented…
Question Number 219731 by Nescio last updated on 01/May/25 Answered by breniam last updated on 03/May/25 $$=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}\left({x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }×\frac{{x}}{\mathrm{log}\left(\mathrm{1}+\mathrm{2}{x}\right)}×\mathrm{tan}\left({x}\right)={L} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}\left({x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }=\mathrm{1}…
Question Number 219365 by Nicholas666 last updated on 23/Apr/25 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 219223 by fantastic last updated on 20/Apr/25 Commented by Nicholas666 last updated on 22/Apr/25 https://bekicotsspace.quora.com/How-do-I-solve-the-problem-Let-math-f-x-lim_-n-to-infty-left-frac-n-n-x-n-x-frac-n-2-cdots-x-frac-n?ch=10&oid=220368951&share=05ee32a3&srid=5Xg5SU&target_type=post Answered by zetamaths last updated on 20/Apr/25 $$\frac{{f}'\left(\mathrm{3}\right)}{{f}\left(\mathrm{3}\right)}\geqslant\frac{{f}'\left(\mathrm{2}\right)}{{f}\left(\mathrm{2}\right)}\:\:\:…
Question Number 218703 by Nicholas666 last updated on 14/Apr/25 $$ \\ $$$$\:\:\:\:{Prove};\:{lim}_{{x}\rightarrow\mathrm{0}} \:\frac{{x}\:−\:{sin}\:{x}}{{x}^{\mathrm{3}} }\:=\:\frac{\mathrm{1}}{\mathrm{6}}\:\: \\ $$$$ \\ $$ Answered by SdC355 last updated on 14/Apr/25…
Question Number 218543 by agmed last updated on 11/Apr/25 Commented by Ghisom last updated on 11/Apr/25 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{{x}−\mathrm{sin}\:{x}}{{x}^{\mathrm{3}} } \\ $$ Answered by SdC355 last…
Question Number 218309 by 200392jjlv last updated on 05/Apr/25 $$\underset{−\infty} {\overset{\infty} {\int}}\frac{\mathrm{4}}{\mathrm{16}+{x}^{\mathrm{2}} }{dx} \\ $$$$=\:\underset{−\infty} {\overset{\mathrm{0}} {\int}}\frac{\mathrm{4}}{\mathrm{16}+{x}^{\mathrm{2}} }{dx}+\underset{\infty} {\int}^{\mathrm{0}} \frac{\mathrm{4}}{\mathrm{16}+{x}^{\mathrm{2}} }{dx} \\ $$$$=\: \\ $$$$…
Question Number 218196 by mnjuly1970 last updated on 01/Apr/25 $$ \\ $$$$ \\ $$$$\:\:\:\:\mathrm{lim}\:_{\mathrm{n}\rightarrow\infty} \frac{\mathrm{1}}{{n}}\:\left(\:\frac{\left(\mathrm{2}{n}\right)!}{{n}!}\:\right)^{\frac{\mathrm{1}}{{n}}} =\:?\:\:\:\:\:\:\:\: \\ $$$$ \\ $$ Answered by mehdee7396 last updated…
Question Number 217190 by efronzo1 last updated on 05/Mar/25 $$\mathrm{Given}\:\mathrm{a}_{\mathrm{n}+\mathrm{1}} \:=\:\mathrm{a}_{\mathrm{n}} \:+\:\mathrm{a}_{\mathrm{n}+\mathrm{2}} \: \\ $$$$\:\:\mathrm{where}\:\mathrm{a}_{\mathrm{3}} =\:\mathrm{4}\:\mathrm{and}\:\mathrm{a}_{\mathrm{5}} =\:\mathrm{6} \\ $$$$\:\mathrm{find}\:\mathrm{a}_{\mathrm{n}} \:. \\ $$ Answered by mathmax…
Question Number 216952 by mustaphapelumi last updated on 25/Feb/25 Terms of Service Privacy Policy Contact: info@tinkutara.com