" (a) "1+2x+3x^(2)+4x^(3)+...(|x|<1)

If f(x) = {{:( 1-2x +3x^(2) -4x^(3) +......infty,"for" xne 1),( 1,"for " x=-1):},then f(x) is

Evaluate: int(1+2x+3x^(2)+4x^(3)+...)dx,quad (<|x|<1)

The sum of the series 1 + 2x + 3x^(2) + 4x^(3) +"…." to oo where x lies between 0 and 1 i.e., 0 lt x lt 1 is :

Sum of n terms of the series 1+2 x+3 x^(2)+4 x^(3)+..,(x ne 1) is

Evaluate: int(1+2x+3x^2+4x^3+....)dx ,(|x|<1)

Evaluate: int(1+2x+3x^2+4x^3+....)dx ,(|x|<1)

int(1+2x+3x^(2)+4x^(3).....)dx=....+c(|x| lt 1)

If 1+ 2x + 3x^(2) + 4x^(3) + …oo= (9)/(4) (|x| lt 1) then x=

Consider the polynomial f(x)=1+2x+3x^(2)+4x^(3) . Let s be the sum of all distinet real roots of f(x) and let t=|s| . The function f(x) is