`lim_(xrarr0)(alphae^x+betaln(1+x)+gammae^-x)/(xsin^2x)=10` then find `(alpha+beta+gamma)`

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

If lim _( x to 0) (alpha x e ^(x) - beta log _(e) (1 + x ) + gamma x ^(2) e ^(-x))/( x^2 sin x) = 10, alpha , beta, gamma in R, then the value of alpha+ beta + gamma is ____________.

if alpha,beta,gamma are the roots of 2x^(3)-5x^(2)-14x+8=0 then find alpha+beta+gamma

int_0^10([sin2pix])/e^(-[x]+x)dx=alphae^(-1)+betae^(-1/2)+gamma . then find alpha+beta+gamma

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha, beta, gamma are roots of x^(3)-2x^(2)+7x-1=0 then the value of (alpha+beta-gamma) (beta+gamma-alpha) (alpha+gamma-beta)

Let alpha,beta,gamma be the roots of the cubic 2x^(3)+9x^(2)-27x-54=0. If alpha,beta,gamma are in GP,then find (2)/(3)(| alpha|+| beta|+| gamma|)

if alpha,beta,gamma are roots of 2x^(3)+x^(2)-7=0 then find the value of sum_(alpha,beta,gamma)((alpha)/(beta)+(beta)/(gamma))

Suppose alpha,beta,gamma are the roots of x^(3)+x^(2)+x+2=0 then the value of ((alpha+beta-2 gamma)/(gamma))((beta+gamma-2 alpha)/(alpha))((gamma+alpha-2 beta)/(beta))