Let `x,x_2,...,x_2014` be real number different from 1, such that `x_1+x_2+......+x_2014=1 and (x_1)/(1-x_1)+(x_2)/(1-x_2)+.......+(x_2014)/(1-x_2014)=1` what is value `(x_1^2 )/(1-x_1)+(x_2^2 )/(1-x_2)+....+(x^2 2014)/(1-x_2014)=?`

Let x,x_(2),...,x_(2014) be real number different from 1, such that x_(1)+x_(2)+......+x_(2014)=1 and (x_(1))/(1-x_(1))+(x_(2))/(1-x_(2))+......+(x_(2014))/(1-x_(2014)) what is value (x_(1)^(2))/(1-x_(1))+(x_(2)^(2))/(1-x_(2))+...+(x^(2)2014)/(1-x_(2014))=?

If x-(1)/(x)=1 , then what is the value of ((1)/(x-1)-(1)/(x+1)+(1)/(x^2 +1)-(1)/(x^2 -1)) ?

Prove that |(1,x,x^2),(x^2,1,x),(x,x^2,1)|=(1-x^2) .

lim_ (x rarr-1) (x ^ (2015) +1) / (x ^ (2014) -1)

If x_(1)x_(1)x_(3)=4(4+x_(1)+x_(2)+x_(3)) then what is the value of [(1)/(2+x_(1))]+[(1)/(2+x_(2))]+[(1)/(2+x_(3))]?

If x+(1)/(x)=2, value of x^(2014)-(1)/(x^(2014)) is :