If S is the set of all real `x` such that `(2x-1)/(2x^3+3x^2+x)` is `(-oo,-3/2)` b. `(-3/2,1/4)` c. `(-1/4,1/2)` d. `(1/2,3)` e. None of these

If S is the set of all real x such that (2x-1)/(2x^3+3x^2+x) is positive (-oo,-3/2) b. (-3/2,1/4) c. (-1/4,1/2) d. (1/2,3) e. None of these

Set of all real value of a such that f(x)=((2a-1)x^2+2(a+1)x+(2a-1))/(x^2-2x+40) is always negative is a. (-oo,0) b. (0,oo) c. (-oo,1/2) d. none

The exhaustive set of values of a for which inequation (a -1)x^2- (a+1)x+ a -1>=0 is true AA x >2 (a) (-oo,1) (b)[7/3,oo) (c) [3/7,oo) (d) none of these

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

The domain of the function f(x)=sqrt(log_((|x|-1))(x^2+4x+4)) is (a) (-3,-1)uu(1,2) (b) (-2,-1)uu(2,oo) (c) (-oo,-3)uu(-2,-1)uu(2,oo) (d)none of these

The set of all values of a for which both roots of equation x^2-2ax+a^2-1=0 lies between -2 and 4 is (A) (-1,2) (B) (1,3) (C) (-1,3) (D) none of these

The domain of the function f(x)=sqrt(((x+1)(x-3))/(x-2)) is [-1,2)uu[3,oo) b. (-1,2)uu[3,oo) c. [-1,2]uu[3,oo) d. none of these

The value of lim_(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x) is e^(5/2) b. e^2 c. e^(-2) d. 1

If 3 - 2x^(2) gt 5x, x in R , then the set of solutions is A. (- oo,-1/2) B. (3,oo) C. (-1/2,3) D. [-1/2,3]