Question Number 5513 by 314159 last updated on 17/May/16 $${If}\:{n}>\mathrm{1},\:{prove}\:{by}\:{mathematical}\:{induction}\:{that} \\ $$$${n}\left(\left({n}+\mathrm{1}\right)^{\frac{\mathrm{1}}{{n}}} −\mathrm{1}\right)\:<\:\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}}+…\frac{\mathrm{1}}{{n}}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 71049 by jagannath19 last updated on 11/Oct/19 Commented by jagannath19 last updated on 11/Oct/19 $${explain} \\ $$ Commented by mr W last updated…
Question Number 136581 by mnjuly1970 last updated on 23/Mar/21 $$\:\:\:\:\:\:\:\:…….{advanced}\:\:\:{calculus}…. \\ $$$$\:\:\:{pove}\:{that}:: \\ $$$$:::\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left\{\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{2}^{\mathrm{2}{n}} }\begin{pmatrix}{\:\mathrm{2}{n}}\\{\:\:{n}}\end{pmatrix}\:{cos}\left({nx}\right)\right\}=\frac{{cos}\left(\frac{{x}}{\mathrm{4}}\right)}{\:\sqrt{\mathrm{2}{cos}\left(\frac{{x}}{\mathrm{2}}\right)}} \\ $$ Answered by Dwaipayan Shikari last…
Question Number 71046 by jagannath19 last updated on 11/Oct/19 Commented by jagannath19 last updated on 11/Oct/19 $${explain} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 71047 by jagannath19 last updated on 11/Oct/19 Commented by jagannath19 last updated on 11/Oct/19 $${explain} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 136582 by physicstutes last updated on 23/Mar/21 $$\mathrm{Use}\:\mathrm{De}'\mathrm{Moivre}'\mathrm{s}\:\mathrm{theorem}\:\mathrm{to}\:\mathrm{prove}\:\mathrm{that} \\ $$$$\:\underset{{r}=\mathrm{0}} {\overset{\infty} {\sum}}\mathrm{cos}\:{rx}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{and}\:\mathrm{find}\:\mathrm{a}\:\mathrm{value}\left(\mathrm{or}\:\mathrm{expression}\right)\:\mathrm{for}\:\underset{{r}=\mathrm{0}} {\overset{\infty} {\sum}}\mathrm{sin}\:{rx} \\ $$$$\mathrm{assume}\:\mathrm{that}\:\mathrm{this}\:\mathrm{two}\:\mathrm{series}\:\mathrm{were}\:\mathrm{convergent}. \\ $$ Answered by Ar Brandon last…
Question Number 71045 by jagannath19 last updated on 11/Oct/19 Commented by jagannath19 last updated on 11/Oct/19 $${explain} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 5508 by selene rmz. last updated on 17/May/16 $$\mathrm{24}\boldsymbol{\div}\mathrm{56} \\ $$ Answered by Abdul Haque Soomro last updated on 20/May/16 $$\mathrm{3}\boldsymbol{\div}\mathrm{7} \\ $$…
Question Number 5507 by Kasih last updated on 17/May/16 $${if}\:\left({x}−\mathrm{1}\right)\:\left({x}+\mathrm{1}\right)\:+\mathrm{3}{x}+{x}^{\mathrm{2}} ={ax}^{\mathrm{2}} +{bx}+{c}\:{then}\:{a}=?\:{b}=?\:{c}=? \\ $$ Answered by Rasheed Soomro last updated on 17/May/16 $$\:\left({x}−\mathrm{1}\right)\:\left({x}+\mathrm{1}\right)\:+\mathrm{3}{x}+{x}^{\mathrm{2}} ={ax}^{\mathrm{2}} +{bx}+{c}…
Question Number 5506 by Kasih last updated on 17/May/16 $${to}\:{integrate}\:{the}\:{improper}\:{rational}\:{function} \\ $$$${f}\left({x}\right)=\frac{\left({x}^{\mathrm{2}} +\mathrm{4}\right)}{\left({x}+\mathrm{1}\right)}\:{we}\:{first}\:{rewrite}\:{it}\:{as}\:{f}\left({x}\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com