Category: Relation and Functions

Question Number 30439 by abdo imad last updated on 22/Feb/18 $$letF\left(x\right)=\sum _{n=1}^{\mathrm{\infty }}\frac{{(-1)}^{n-1}}{n^x}calculate\frac{dF}{dx}\left(x\right).$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 30436 by abdo imad last updated on 22/Feb/18 $$let\phi \left(x\right)=1-2^{1-x}provethat$$$$\phi \left(x\right)=(x-1)ln2-\frac{{\left(ln2\right)}^2}{2}{(x-1)}^2+o\left({(x-1)}^2\right).$$ Commented by prof Abdo imad last…

Question Number 30434 by abdo imad last updated on 22/Feb/18 $$findthenatureof\sum _{n=0}^{\mathrm{\infty }}{x}^{n!}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 30431 by abdo imad last updated on 22/Feb/18 $$letf\left(x\right)=\sum _{n=1}^{\mathrm{\infty }}\frac{x^n}{1-x^n}withx\in [0,1[provethat$$$$f\left(x\right){\sim }_{x\to 1}\frac{ln(1-x)}{x-1}.$$ Terms of Service Privacy Policy…

Question Number 30415 by abdo imad last updated on 22/Feb/18 $$findthevalueof\sum _{k=0}^n\frac{1}{k+1}{C}_n^k.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com