# Author: Tinku Tara

## Let-u-n-be-a-set-satisfying-u-1-1-amp-u-n-1-u-n-ln-n-u-n-n-1-1-Prove-that-u-2023-gt-2023-ln-2023-2-Find-lim-n-u-n-ln-n-n-

Question Number 209631 by York12 last updated on 17/Jul/24 $$\mathrm{Let}\:{u}_{{n}} \:\mathrm{be}\:\mathrm{a}\:\mathrm{set}\:\mathrm{satisfying}\:{u}_{\mathrm{1}} =\mathrm{1}\:\&\:{u}_{{n}+\mathrm{1}} ={u}_{{n}} +\frac{\mathrm{ln}\:{n}}{{u}_{{n}} }\:\:,\:\forall\:{n}\:\geqslant\mathrm{1} \\$$$$\mathrm{1}.\:\mathrm{Prove}\:\mathrm{that}\:{u}_{\mathrm{2023}} >\sqrt{\mathrm{2023}.\mathrm{ln}\:\mathrm{2023}}. \\$$$$\mathrm{2}.\:\mathrm{Find}:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{{u}_{{n}} .\mathrm{ln}\:{n}}{{n}}. \\$$ Terms…

## 2cos-2-x-3cosx-sinx-1-0-help-

Question Number 209656 by Ismoiljon_008 last updated on 17/Jul/24 $$\\$$$$\:\:\:\mathrm{2}{cos}^{\mathrm{2}} {x}−\mathrm{3}{cosx}+{sinx}+\mathrm{1}=\mathrm{0} \\$$$$\:\:\:{help} \\$$$$\\$$ Answered by Berbere last updated on…

## Question-209637

Question Number 209637 by mr W last updated on 17/Jul/24 Commented by mr W last updated on 17/Jul/24 $${find}\:{minimum}\:{of}\:{AB}+{BC}+{CD}=? \\$$ Commented by Frix last…

## Question-209639

Question Number 209639 by SonGoku last updated on 17/Jul/24 Commented by SonGoku last updated on 17/Jul/24 $$\mathrm{In}\:\mathrm{the}\:\mathrm{figure},\:\mathrm{DC}//\mathrm{FG}\:\mathrm{is}\:\mathrm{the}\:\mathrm{width}\:\mathrm{of}\:\mathrm{a}\:\mathrm{river}. \\$$$$\mathrm{How}\:\mathrm{wideis}\:\mathrm{this}\:\mathrm{river}? \\$$$$\left(\mathrm{How}\:\mathrm{do}\:\mathrm{I}\:\mathrm{solve}\:\mathrm{it}?\right) \\$$ Answered by…