6x^(2)+5x-6

Consider following statements and identify correct options (i) lim_(x rarr4)((2x)/(x-2)-(8)/(x-4))=lim_(x rarr4)((2x)/(x-4))-lim_(x rarr4)((8)/(x-4)) (ii) lim_(x rarr1)((x^(2)+6x-7)/(x^(2)+5x-6))=(lim_(x rarr1)(x^(2)+6x-7))/(lim_(x rarr1)(x^(2)+5x-6))

COnsider the following statements and identify the correct options ( i ) lim_(x rarr4)((2x)/(x-4)-(8)/(x-4))=lim_(x rarr4)(2x)/(x-4)-lim_(x rarr4)(8)/(x-4) (ii) lim_(x rarr1)(x^(2)+6x-7)/(x^(2)+5x-6)=(lim_(x rarr1)(x^(2)+6x-7))/(lim_(x rarr1)(x^(2)+5x-6))

The quadratic polynomial, the sum of whose zeroes is -5 and their product is 6,is (a) x^(2)+5x+6 (b) x^(2)-5x+6 (c) x^(2)-5x-6 (d) -x^(2)+5x+6

Determine the values of x satisfying the following equalities: (a) |(x-1)/(x+1)|=(x-1)/(x+1) (b) |x^(2)-5x+6|=-(x^(2)+-5x+6)

Find the values of x for which f(x) is positive if f(x)=(x^(2)-6x+5)/(x^(2)-5x+6) .

Find the values of x for which f(x) is positive if f(x)=(x^(2)-6x+5)/(x^(2)-5x+6) .

The number of real roots of the equation (x^(2)+5x+6)^(2)+5(x^(2)+5x+6)+6-x=0 is