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

lim_(x to 1/2)((8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-1)) .

(2x-1)/(3)+(3x+2)/(2)+7=(1)/(6)+(4x+3)/(6)

(2x-1)/(3)+(3x+2)/(2)+7=(1)/(6)+(4x+3)/(6)

The greatest 'x' satisfying the inequation (2x+1)/(3)-(3x-1)/(2)>1 is: -4 (b) 4(c)1(d)-1

If f(x)=(2x+1)/(2x^(3)+3x^(2)+x) and S={x:f(x)>0} then s contains (a) (-oo,-(3)/(2))(b)(-(3)/(2),-(1)/(4))(c)(-(1)/(4),(1)/(2)) (d) ((1)/(2),3)

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

((2x-1)(x+3)(2-x)(1-x)^(2))/(x^(4)(x+6)(x-9)(2x^(2)+4x+9))<0

The value of lim_(xrarr oo)(2x^(1//2)+3x^(1//3)+4x^(1//4)+....nx^(1//n))/((2x-3)^(1//2)+(2x-3)^(1//3)+....+(2x-3)^(1//n)) is

lim_ (x rarr (1) / (2)) ((8x-3) / (2x-1) - (4x ^ (2) +1) / (4x ^ (2) -1))