Question Number 196986 by Erico last updated on 05/Sep/23 $$\mathrm{Prove}\:\mathrm{that}\: \\ $$$$\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}n}\underset{\:\mathrm{0}} {\int}^{\:\mathrm{1}} \mathrm{e}^{−\mathrm{nt}\left(\mathrm{1}−\mathrm{ln}\left(\mathrm{1}−\mathrm{t}\right)\right)} \mathrm{dt}=\sqrt{\mathrm{2}\pi} \\ $$ Answered by witcher3 last updated on 07/Sep/23…
Question Number 194406 by Safojon last updated on 05/Jul/23 Answered by BaliramKumar last updated on 05/Jul/23 $$\mathrm{i}\:\mathrm{find}\:\mathrm{2007}^{\mathrm{th}} \:\mathrm{digit}\:=\:\mathrm{5} \\ $$ Commented by Safojon last updated…
Question Number 65427 by byaw last updated on 29/Jul/19 Commented by Rio Michael last updated on 30/Jul/19 $$\left.{B}\right)\:{because}\:\:{p}\:\rightarrow{q}\:\equiv\:\sim{q}\:\rightarrow\sim{p} \\ $$$$\:\:{which}\:{is}\:“\mathrm{Dede}\:\mathrm{did}\:\mathrm{not}\:\mathrm{score}\:\mathrm{a}\:\mathrm{goal}\:\mathrm{then},\:\mathrm{he}\:\mathrm{did}\:\mathrm{not}\:\mathrm{train}\:\mathrm{hard}'' \\ $$ Terms of Service…
Question Number 130939 by mathlove last updated on 06/Feb/21 $${belwo}\:\:{synonymus}\:{solve} \\ $$$${a}_{\mathrm{1}} =\frac{\mathrm{4}{n}+\mathrm{3}}{\mathrm{2}{n}−\mathrm{1}}\:\:\:\:\:\:\:{and}\:\:{a}_{\mathrm{10}} =\frac{\mathrm{6}{n}+\mathrm{5}}{\mathrm{2}{n}−\mathrm{4}} \\ $$$${a}_{\mathrm{30}} =? \\ $$$${pleas}\:{slove}\:{this} \\ $$ Commented by mathlove last…
Question Number 130782 by EDWIN88 last updated on 28/Jan/21 $${u}_{{n}+\mathrm{1}} \:=\:{u}_{{n}} \:+\mathrm{2}{u}_{{n}−\mathrm{1}} \:+\mathrm{2}{u}_{\mathrm{0}} \: \\ $$$${u}_{\mathrm{0}} =\mathrm{1}\:\Rightarrow{u}_{{n}} =? \\ $$ Commented by prakash jain last…
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Question Number 61934 by Cypher1207 last updated on 12/Jun/19 $$\mathrm{Answer}:\:\mathrm{0}^{\mathrm{0}} =? \\ $$ Commented by Kunal12588 last updated on 12/Jun/19 $$\mathrm{I}\:\mathrm{believe}\:\mathrm{0}^{\mathrm{0}} =\mathrm{1} \\ $$ Commented…
Question Number 60484 by Askash last updated on 21/May/19 $${If}\:\:{a}\:+\:{b}\:+\:{c}\:=\:\mathrm{4} \\ $$$$ \\ $$$${then}\:{find} \\ $$$${a}^{\mathrm{3}} \:+\:{b}^{\mathrm{3}} \:+\:{c}^{\mathrm{3}\:} =\:? \\ $$ Commented by MJS last…
Question Number 191231 by Fridunatjan08 last updated on 21/Apr/23 $${Logic}\:{puzzle} \\ $$$${if}\:\:\mathrm{3621}+\mathrm{22}=\mathrm{10} \\ $$$$\:\:\:\:\:\:\:\mathrm{7842}+\mathrm{10}=\mathrm{17} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{8223}+\mathrm{13}=\mathrm{29} \\ $$$$\:\:\:\:\:\:\:\mathrm{1930}+\mathrm{7}\:=\:\mathrm{10} \\ $$$$\:\:\:\:\:\:\:\mathrm{6624}+\mathrm{11}=? \\ $$ Commented by Fridunatjan08…
Question Number 188924 by mathlove last updated on 09/Mar/23 Answered by qaz last updated on 10/Mar/23 $$\begin{pmatrix}{{n}}\\{{k}}\end{pmatrix}^{−\mathrm{1}} =\left({n}+\mathrm{1}\right)\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{k}} \left(\mathrm{1}−{x}\right)^{{n}−{k}} {dx}… \\ $$ Terms…