Question Number 26768 by abdo imad last updated on 29/Dec/17 $${find}\:{the}\:{nature}\:{of}\:{U}_{{n}} \:\:=\sum_{{p}=\mathrm{0}} ^{{p}={n}} \:\:\frac{\mathrm{1}}{{C}_{{n}} ^{{p}} }\:\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26764 by abdo imad last updated on 29/Dec/17 $${find}\:\:{lim}_{{n}−>\propto} \:\frac{\mathrm{1}}{{n}}\:{ln}\left(\:\prod_{{k}=\mathrm{1}} ^{{n}−\mathrm{1}} \:\left(\mathrm{1}−\:\frac{{k}}{{n}}\right)\right). \\ $$ Commented by prakash jain last updated on 29/Dec/17 $$\underset{{k}=\mathrm{1}}…
Question Number 26761 by abdo imad last updated on 29/Dec/17 $${let}\:{put}\:\:{s}_{{n}} =\:\frac{\sum_{{k}=\mathrm{0}} ^{{k}={n}} \left(\mathrm{2}{k}+\mathrm{1}\right)}{\sum_{{k}=\mathrm{1}} ^{{k}={n}} \:{k}} \\ $$$${find}\:{lim}_{{n}−>\propto} {s}_{{n}} \\ $$ Answered by prakash jain…
Question Number 92291 by jagoll last updated on 06/May/20 $$ \\ $$$$\underset{{x}\rightarrow\mathrm{1}^{−} } {\mathrm{lim}}\:\left(\mathrm{1}−\mathrm{x}\right)^{\mathrm{ln}\:\mathrm{x}} \:=?\: \\ $$ Commented by abdomathmax last updated on 06/May/20 $${let}\:{f}\left({x}\right)=\left(\mathrm{1}−{x}\right)^{{lnx}}…
Question Number 92289 by jagoll last updated on 06/May/20 $$ \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{ln}\left(\frac{\left(\mathrm{3}+\mathrm{e}\right)^{\mathrm{x}} }{\mathrm{2x}}\right)\:? \\ $$ Commented by mathmax by abdo last updated on 06/May/20…
Question Number 26751 by abdo imad last updated on 28/Dec/17 $${by}\:{using}\:{fourier}\:{serie}\:{find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{0}} ^{\propto} \:\frac{\mathrm{1}}{\left(\mathrm{2}{n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by abdo imad last updated on 30/Dec/17 $${we}\:{know}\:{that}\:/{x}/=\:\frac{\pi}{\mathrm{2}}\:−\frac{\mathrm{4}}{\pi}\:\sum_{{p}=\mathrm{0}}…
Question Number 26749 by abdo imad last updated on 28/Dec/17 $${let}\:{give}\:\:{S}_{{n}} \:=\:\:\sum_{\mathrm{1}\leqslant{i}<{j}\leqslant{n}} \:\:\:\frac{\mathrm{1}}{{i}^{\mathrm{2}} {j}^{\mathrm{2}} }\:\:\:{find}\:{lim}_{{n}−>\propto} \:\:{S}_{{n}} \:\:. \\ $$ Commented by abdo imad last updated…
Question Number 157803 by cortano last updated on 28/Oct/21 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}\:\mathrm{tan}\:\left(\mathrm{tan}\:{x}\right)−\left(\mathrm{tan}\:{x}\right)^{\mathrm{2}} }{{x}^{\mathrm{6}} }\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26722 by prakash jain last updated on 28/Dec/17 $$\underset{{x}\rightarrow−\mathrm{1}^{+} } {\mathrm{lim}}\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} +…\mathrm{up}\:\mathrm{to}\:\infty\right)=? \\ $$$$\underset{{x}\rightarrow−\mathrm{1}^{−} } {\mathrm{lim}}\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} +…\mathrm{up}\:\mathrm{to}\:\infty\right)=? \\ $$ Terms of…
Question Number 92256 by jagoll last updated on 05/May/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}}{\mathrm{x}}−\frac{\mathrm{1}}{\mathrm{ln}\left(\mathrm{1}+\mathrm{x}\right)}\:? \\ $$ Commented by $@ty@m123 last updated on 05/May/20 $${See}\:{Q}.\:{No}.\:\mathrm{87105} \\ $$ Commented by…