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Author: Tinku Tara

P-x-tan-1-x-n-0-1-n-x-2n-1-2n-1-P-1000-x-what-is-this-sum-in-terms-of-x-

Question Number 62962 by fyyac c last updated on 27/Jun/19 $${P}\left({x}\right)=\mathrm{tan}^{−\mathrm{1}} \left({x}\right)=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} {x}^{\mathrm{2}{n}+\mathrm{1}} }{\mathrm{2}{n}+\mathrm{1}}\: \\ $$$${P}_{\mathrm{1000}} \left({x}\right)=?\:{what}\:{is}\:{this}\:{sum}\:{in}\:{terms}\:{of}\:{x}? \\ $$ Terms of Service Privacy…

calculate-A-1-2-6-4-1-2-6-4-

Question Number 128496 by mathmax by abdo last updated on 07/Jan/21 $$\mathrm{calculate}\:\:\:\mathrm{A}\:=\frac{\mathrm{1}}{\left(\mathrm{2}−\sqrt{\mathrm{6}}\right)^{\mathrm{4}} }+\frac{\mathrm{1}}{\left(\mathrm{2}+\sqrt{\mathrm{6}}\right)^{\mathrm{4}} } \\ $$ Commented by liberty last updated on 08/Jan/21 $$\frac{\left(\mathrm{2}−\sqrt{\mathrm{6}}\right)^{\mathrm{4}} +\left(\mathrm{2}+\sqrt{\mathrm{6}}\right)^{\mathrm{4}}…

Find-the-greatest-coefficient-in-the-expansion-of-6-4x-3-

Question Number 62945 by Tawa1 last updated on 27/Jun/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{coefficient}\:\mathrm{in}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{of}\:\:\:\left(\mathrm{6}\:−\:\mathrm{4x}\right)^{−\mathrm{3}} \\ $$ Answered by mr W last updated on 27/Jun/19 $$\left(\mathrm{6}−\mathrm{4}{x}\right)^{−\mathrm{3}} \\ $$$$=\mathrm{6}^{−\mathrm{3}} \left(\mathrm{1}−\frac{\mathrm{2}{x}}{\mathrm{3}}\right)^{−\mathrm{3}} \\…

Make-r-the-subject-of-the-formular-S-a-r-n-1-r-1-

Question Number 62942 by Tawa1 last updated on 27/Jun/19 $$\mathrm{Make}\:\:\mathrm{r}\:\:\mathrm{the}\:\mathrm{subject}\:\mathrm{of}\:\mathrm{the}\:\mathrm{formular}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mathrm{S}\:\:=\:\:\frac{\mathrm{a}\left(\mathrm{r}^{\mathrm{n}} \:−\:\mathrm{1}\right)}{\mathrm{r}\:−\:\mathrm{1}} \\ $$ Commented by Tawa1 last updated on 27/Jun/19 $$\mathrm{Sir},\:\:\mathrm{help}\:\mathrm{me}\:\mathrm{solve}\:\mathrm{this} \\ $$$$\:\:\:\:\:\:\:…