`(x^(4)+x^(3)-3x^(2)+3x+1)/(3+2x)`

Evaluate: lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16) .

lim_(x rarr1)(x^(4)+3x^(3)-13x^(2)-27x+36)/(x^(2)+3x-4)

If the order of ax^(5) + 3x^(4) + 4x^(3) + 3x^(2) + 2x +1 is 4 then a = …………..

int(x^(4)+3x^(3)+x^(2)-1)/(x^(3)+x^(2)-x-1)dx

The non -integral roots of x^(4) - 3x^(3) - 2x^(2) + 3x + 1=0" " (1) are

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

The equation x^(4) -2x^(3) - 3x^(2) + 4x-1=0 has four distinct real roots x_1,x_2,x_3,x_4 such that x_1 lt x_2 lt x_3 lt x_4 and product of two roots is unity , then : x_1x_2+x_1x_3 + x_2x_4+x_3x_4 is equal to :

The equation x ^(4) -2x ^(3)-3x^2 + 4x -1=0 has four distinct real roots x _(1), x _(2), x _(3), x_(4) such that x _(1) lt x _(2) lt x _(3)lt x _(4) and product of two roots is unity, then : x _(1)x _(2) +x_(1)x_(3) + x_(2) x _(4) +x_(3) x _(4)=