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Category: Algebra

Find-lim-n-H-n-k-1-n-1-n-k-k-1-n-cot-1-n-k-

Question Number 190021 by Shrinava last updated on 26/Mar/23 $$\mathrm{Find}: \\ $$$$\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{H}_{\boldsymbol{\mathrm{n}}} \:\left(\underset{\boldsymbol{\mathrm{k}}=\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}} {\sum}}\:\frac{\mathrm{1}}{\mathrm{n}+\mathrm{k}}\:-\underset{\boldsymbol{\mathrm{k}}=\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}} {\sum}}\:\mathrm{cot}^{-\mathrm{1}} \:\left(\mathrm{n}+\mathrm{k}\right)\right) \\ $$ Terms of Service Privacy…

5x-2-3x-5-0-Find-x-1-x-0-

Question Number 190022 by Shrinava last updated on 26/Mar/23 $$\mathrm{5x}^{\mathrm{2}} \:−\:\mathrm{3x}\:+\:\mathrm{5}\:=\:\mathrm{0} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{x}\:+\:\frac{\mathrm{1}}{\mathrm{x}}\:=\:\mathrm{0} \\ $$ Commented by Rasheed.Sindhi last updated on 26/Mar/23 $$\mathrm{x}\:+\:\frac{\mathrm{1}}{\mathrm{x}}\:=\:\mathrm{0}\:,{What}\:{to}\:{find}? \\ $$…

2-5-6-2-

Question Number 58936 by hhghg last updated on 01/May/19 $$\mathrm{2}+\left\{\left[\mathrm{5}+\mathrm{6}\right]\right\}×\mathrm{2} \\ $$ Answered by Tony Lin last updated on 01/May/19 $$=\mathrm{2}+\mathrm{11}×\mathrm{2}=\mathrm{24} \\ $$ Terms of…

6h-18-

Question Number 58932 by hhghg last updated on 01/May/19 $$\mathrm{6h}=\mathrm{18} \\ $$ Commented by Tawa1 last updated on 01/May/19 $$\mathrm{Divide}\:\mathrm{both}\:\mathrm{side}\:\mathrm{by}\:\:\mathrm{6} \\ $$$$\:\:\:\:\frac{\mathrm{6h}}{\mathrm{6}}\:\:=\:\:\frac{\mathrm{18}}{\mathrm{6}} \\ $$$$\:\:\:\:\mathrm{h}\:\:=\:\:\mathrm{3} \\…