If `((x-2)^(2)(3-x)^(3)(5-x)^(4))/((4-x)^(3))<0,` then the exhaustive set of real values of `x` ,is :

((x-5)^(2)(x+2)^(3)(x-4))/((x-3)^(4))<=0

Solve ((x-5)^(2)(x+2)^(3)(x-4))/((x-3)^(4))le0

(x^(5)-:x^(4))^(3)-:x^(2)=?

(5x^(2)-4+6x^(3))-:(-2+3x)

The sum of the series (1)/(2)x^(2)+(2)/(3)x^(3)+(3)/(4)x^(4)+(4)/(5)x^(5)+... is :

Simplify: 9x^(4)(2x^(3)-5x^(4))x5x^(6)(x^(4)-3x^(2))

The coefficient of x^(5) in the expansion of (1+(x)/(1!)+(x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+(x^(5))/(5!))^(2) is

Consider the system of equations x_1+x_(2)^(2)+x_(3)^(3)+x_(4)^(4)+x_(5)^(5)=5 and x_1+2x_2+3x_3+4x_4+5x_5=15 where x_1,x_2,x_3,x_4,x_5 are positive real numbers. Then numbers of (x_1,x_2,x_3,x_4,x_5) is ___________.