[" If "(x^(2)-5x+6)/(x^(2)-x+1)" is positive,then "],[[x<2],[23]],[x<2" or "x>3]

(x^(2)-5x-6)/(x^(2)+3x+2)

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

(5x^(2)-3x+4)/((x+1)(x^(2)-5x+6))=

((x+3)(x^(2)-5x+6))/((x^(2)+x+1)(x-4))<=0

If S is the set of all real 'x' such that (x^2(5-x)(1-2x))/((5x+1)(x+2)) is negative and (3x+1)/(6x^3+x^2-x) is positive, then S contains

lim_(x rarr0)(3x^(2)+5x-1)/(x^(2)+2x+6)

((1)/(x-3)-(3)/(x(x^(2)-5x+6)))

Show that the sum of the coefficients of x^(-6) and x^(-1) in (5x^(2)-(7)/(x^(3)))^(12) is positive.