Question Number 165349 by mkam last updated on 31/Jan/22 Answered by puissant last updated on 31/Jan/22 $$\frac{\mathrm{1}}{\mathrm{2}{n}^{\mathrm{2}} }\:=\:\frac{\left(\mathrm{2}{n}+\mathrm{1}\right)−\left(\mathrm{2}{n}−\mathrm{1}\right)}{\mathrm{1}+\left(\mathrm{2}{n}+\mathrm{1}\right)\left(\mathrm{2}{n}−\mathrm{1}\right)} \\ $$$$\Rightarrow\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{arctan}\left(\frac{\mathrm{1}}{\mathrm{2}{n}^{\mathrm{2}} }\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left\{{arctan}\left(\mathrm{2}{n}+\mathrm{1}\right)−{arctan}\left(\mathrm{2}{n}−\mathrm{1}\right)\right\}…
Question Number 99772 by Tinku Tara last updated on 23/Jun/20 $$\mathrm{Apk}\:\mathrm{file}\:\mathrm{for}\:\mathrm{upcoming}\:\mathrm{version} \\ $$$$\mathrm{with}\:\mathrm{shape}\:\mathrm{editing}\:\mathrm{is}\:\mathrm{available}. \\ $$ Commented by john santu last updated on 23/Jun/20 $$\mathrm{Tinku}\:\mathrm{Tara}\:\mathrm{math}\:\mathrm{Editor}\:\mathrm{Afdoll} \\…
Question Number 99766 by pranavdangi last updated on 23/Jun/20 $${my}\:{Quistion} \\ $$$${represnt}\:{these}\:{number}\:\:{on}\:\:{the}\:{number}\:\:{line}\:\left(\mathrm{1}\right)\mathrm{7}/\mathrm{4}\:\left(\mathrm{2}\right)−\mathrm{5}/\mathrm{6} \\ $$ Commented by pranavdangi last updated on 23/Jun/20 $${plese}\:{answer}\:{my}\:{question} \\ $$ Commented…
Question Number 165301 by mathdave last updated on 28/Jan/22 Answered by som(math1967) last updated on 29/Jan/22 $$\mathrm{1}.\boldsymbol{{No}}\:\boldsymbol{{of}}\:\boldsymbol{{ways}}\:'\boldsymbol{{median}}'\:\boldsymbol{{be}}\:\boldsymbol{{arranged}} \\ $$$$\:\mathrm{6}!=\mathrm{720} \\ $$$$\mathrm{2}.\:\boldsymbol{{M}}\:\boldsymbol{{begin}} \\ $$$$\:\boldsymbol{{M}}\:\Box\Box\Box\Box\Box\:^{\mathrm{5}} \boldsymbol{{P}}_{\mathrm{5}} =\mathrm{120}…
Question Number 165262 by mkam last updated on 28/Jan/22 $$\boldsymbol{{find}}\:\boldsymbol{{the}}\:\boldsymbol{{sum}}\:\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\:\left(\frac{\mathrm{1}}{\mathrm{2}}\right)^{\boldsymbol{{n}}} \:+\:\boldsymbol{{i}}\:\left(\:\frac{\mathrm{1}}{\mathrm{3}}\:\right)^{\boldsymbol{{n}}} \: \\ $$ Answered by Mathspace last updated on 28/Jan/22 $$\left.\sum_{{n}=\mathrm{1}} ^{\infty}…
Question Number 165253 by LEKOUMA last updated on 28/Jan/22 Answered by mindispower last updated on 28/Jan/22 $${sin}\left({x}\right)={x}−\frac{{x}^{\mathrm{3}} }{\mathrm{6}}+{o}\left({x}^{\mathrm{3}} \right) \\ $$ Answered by cortano1 last…
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Question Number 165240 by SANOGO last updated on 28/Jan/22 $$\:{soit}\:{la}\:{serie}\:{de}\:{fonction}\:\underset{{n}=\mathrm{2}\:\:\:} {\sum}\frac{{x}^{{n}} }{{nx}+{ln}\left({n}\right)} \\ $$$${etudie}\:{la}\:{convergence}\:{simple}\:{sur}\:\left[\mathrm{0},\mathrm{1}\left[\right.\right. \\ $$ Answered by mindispower last updated on 28/Jan/22 $$\forall{a}\in\left[\mathrm{0},\mathrm{1}\right] \\…
Question Number 165234 by mkam last updated on 27/Jan/22 Commented by mkam last updated on 27/Jan/22 $${find}\:{the}\:{symetric}\:{about}\:{x}−{axis}\:{or}\:{y}−{axis}\:{or}\:{region} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 165208 by Jamshidbek last updated on 27/Jan/22 $$\underset{{x}\rightarrow\underset{\mathrm{y}\rightarrow\mathrm{2}} {\mathrm{1}}} {\mathrm{lim}}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} =? \\ $$ Answered by alephzero last updated on 27/Jan/22 $$\underset{\underset{{y}\rightarrow\mathrm{2}} {{x}\rightarrow\mathrm{1}}}…