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soit-la-serie-de-fonction-n-2-x-n-nx-ln-n-etudie-la-convergence-simple-sur-0-1-

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] \\…

lim-x-1-y-2-x-2-y-2-

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}}}…

n-4-2-3-4-n-3-

Question Number 165210 by mkam last updated on 27/Jan/22 $$\underset{\boldsymbol{{n}}=\mathrm{4}} {\overset{\infty} {\sum}}\:\mathrm{2}\:×\:\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\boldsymbol{{n}}+\mathrm{3}} \\ $$ Commented by cortano1 last updated on 27/Jan/22 $$\mathrm{2}×\left[\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\mathrm{7}} +\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\mathrm{8}} +…\:\right]\:=\:\mathrm{2}×\frac{\left(\frac{\mathrm{3}}{\mathrm{4}}\right)^{\mathrm{7}} }{\left(\frac{\mathrm{1}}{\mathrm{4}}\right)}…

Question-99606

Question Number 99606 by bemath last updated on 22/Jun/20 Commented by john santu last updated on 22/Jun/20 $$\mathrm{let}\:\mathrm{M}\:\mathrm{be}\:\mathrm{the}\:\mathrm{set}\:\mathrm{of}\:\mathrm{the}\:\mathrm{students}\:\mathrm{passing} \\ $$$$\mathrm{in}\:\mathrm{Mathematics}\:,\:\mathrm{P}\:\mathrm{be}\:\mathrm{the}\:\mathrm{set}\:\mathrm{of}\:\mathrm{students}\: \\ $$$$\mathrm{passing}\:\mathrm{in}\:\mathrm{Physics}\:\&\:\mathrm{C}\:\mathrm{be}\:\mathrm{the}\:\mathrm{set}\:\mathrm{of}\: \\ $$$$\mathrm{students}\:\mathrm{passing}\:\mathrm{in}\:\mathrm{Chemistry} \\…