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prove-by-mathematical-induction-that-1-n-1-1-n-2-1-2n-gt-1-2-

Question Number 117895 by aurpeyz last updated on 14/Oct/20 $${prove}\:{by}\:{mathematical}\:{induction}\:{that} \\ $$$$\frac{\mathrm{1}}{{n}+\mathrm{1}}+\frac{\mathrm{1}}{{n}+\mathrm{2}}+…+\frac{\mathrm{1}}{\mathrm{2}{n}}>\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Commented by Dwaipayan Shikari last updated on 14/Oct/20 $$\frac{{n}+\mathrm{1}+{n}+\mathrm{2}+…}{{n}}\geqslant\frac{{n}}{\frac{\mathrm{1}}{{n}+\mathrm{1}}+\frac{\mathrm{1}}{{n}+\mathrm{2}}+….} \\ $$$$\frac{\mathrm{2}{n}^{\mathrm{2}}…

Question-183419

Question Number 183419 by aurpeyz last updated on 25/Dec/22 Commented by Ml last updated on 25/Dec/22 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{problum}\:\mathrm{in}\:\mathrm{this}\:\mathrm{contiliver}\:\mathrm{beam} \\ $$ Commented by aurpeyz last updated on…

Question-183411

Question Number 183411 by aurpeyz last updated on 25/Dec/22 Commented by aurpeyz last updated on 26/Dec/22 $${Determine}\:{the}\:{equivalent}\:{resistance} \\ $$$${relative}\:{to}\:{the}\:{nodes}\:\left({points}\right)\:\ll{A}\gg\:{and}\: \\ $$$$\ll{B}\gg\:{with}\:{excluded}\:{sources}\:{if}\:{R}_{\mathrm{1}} =\mathrm{6}\Omega \\ $$$${R}_{\mathrm{2}} ={R}_{\mathrm{3}}…

discuss-the-lim-n-1-1-n-n-

Question Number 117865 by aurpeyz last updated on 14/Oct/20 $${discuss}\:{the}\:{lim}_{{n}\rightarrow\infty} \left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)^{{n}} \\ $$ Answered by 1549442205PVT last updated on 14/Oct/20 $$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{Lim}}\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{n}}\right)^{\mathrm{n}} =\mathrm{e}\approx\mathrm{2}.\mathrm{718} \\ $$$$\mathrm{e}^{\mathrm{x}}…