let $x_1, x_2, ... , x_{2014} $ be the roots for $x^{2014} + x^{2013} + ... +x +1 = 0 $ find $\sum_{k=1}^{2014} 1/(1-x_k) $
91496
If $x_1,x_2,\ldots,x_n$ are the roots for $1+x+x^2+\ldots+x^n=0$, find the value of $\frac{1}{x_1-1}+\frac{1}{x_2-1}+\ldots+\frac{1}{x_n-1}$
137249
find $\sum_{k=2}^{\infty}\frac{1}{k^2-1}$
97385
find $f(\frac{1}{2014})+f(\frac{2}{2014})+.....+f(\frac{2013}{2014})$ of $f(x)=\frac{2}{2+4^x}$
113237
Find the sum of the roots of the floor equation
326
Find $\sum_{k=1}^{\infty}\frac{1}{2^{k+1}-1}$
138542
Evaluating sums question $\sum_{k=2}^n \frac{1}{k^2-1}$
105793
Solution of equation $\frac{x\cdot 2014^{\frac{1}{x}}+\frac{1}{x}\cdot 2014^x}{2} = 2014$
107765
Prove that there exists two roots in $[-1,1]$
116360
Sum of n-th roots of unity
101052
Find the infinite sum $\sum_{k=1}^{\infty}\sqrt k - 2\sqrt {k + 1} + \sqrt {k + 2} $
38662
If $a,b$ are the roots of the equation $2 x^2 -3 x +1 = 0$, find an equation whose roots are $a/(2b +3)$, $b/(2a +3)$
37650
Find $\sum_{m=0}^n\ (-1)^m m^n {n \choose m}$
43320
Find the sum of the power series $\sum_{n=1}^\infty n*(n+1)*x^n$
100278
Find $\alpha^{2016} + \beta^{2016} + \alpha^{2014} + \beta^{2014} \over \alpha^{2015} + \beta^{2015}$ for zeroes of the polynomial $x^2+3x +1$
25981
Prove that $\sum_{k=0}^n a_k x^k = 0$ has at least $1$ real root if $\sum_{k=0}^n \frac{a_k}{k+1} = 0$
5332
Find the value of $\sum_0^n \binom{n}{k} (-1)^k \frac{1}{k+1}$
121554
Finding $\sum\frac{1}{2^n(n+1)}$