`(2x^(3)-x^(2)+x+1)-:(2x+1)`

If (x^(3)+x^(2)+x+1)/(x^(3)-x^(2)+x-1)=(x^(2)+x+1)/(x^(2)-x+1), then the number of real value of x satisfying are

Show that (x^(3)+x^(2)+x+1)/(x^(3)-x^(2)+x-1)=(x^(2)+x+1)/(x^(2)-x+1) is not possible for any x varepsilon R.

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

Evaluate int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

Evaluate int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

Evaluate: int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

int_(0)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

lim_(xtooo)((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