Category: Relation and Functions

Question Number 32025 by abdo imad last updated on 18/Mar/18 $$calculate\sum _{n=0}^{\mathrm{\infty }}\frac{{(-1)}^n}{4n+1}.$$ Commented by abdo imad last updated on 20/Mar/18 $${let}\:{put}\:{S}=\sum_{{n}=\mathrm{0}}…

Question Number 31981 by abdo imad last updated on 17/Mar/18 $$findthenatureof\sum _{n⩾2}\frac{1}{nln\left(n\right)}.$$ Commented by abdo imad last updated on 22/Mar/18 $${the}\:{sequence}\:{u}_{{n}} =\:\frac{\mathrm{1}}{{nln}\left({n}\right)}\:{is}\:{decreasing}\:{with}\:{u}_{{n}} \geqslant{o}\:{so}…

Question Number 31983 by abdo imad last updated on 17/Mar/18 $$calculate\sum _{n=0}^{\mathrm{\infty }}\frac{n^2-2}{n!}.$$ Commented by prakash jain last updated on 18/Mar/18 $${n}^{\mathrm{2}}…

Question Number 31980 by abdo imad last updated on 17/Mar/18 $$let-1<x<1calculate\sum _{n=1}^{\mathrm{\infty }}\frac{x^n}{(1-x^n)(1-x^{n+1})}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 31977 by abdo imad last updated on 17/Mar/18 $$findthevalueof\sum _{n=0}^{\mathrm{\infty }}\frac{1}{(2n+1)(2n+3)}$$ Commented by Tinkutara last updated on 17/Mar/18 $$\frac{1}{2}$$…