If `f(x)=x/(x^2-1),` then which of the following is/are correct -

Let f(x)=(x-1)/(x^(2)) then which of the following is correct?

Consider the function f(x)=x+sqrt(1-x^(2)) then which of the following is are correct

If f(x)=|x|+|x-1| , then which one of the following is correct?

If f(x)=|x|+|x-1| , then which one of the following is correct?

Let f(x)=(x-1)/(x^(2)), then which of the following is incorrect?

Let f:R->[-1, 1] be defined as f(x) = cos(sin x), then which of the following is(are) correct ?

Let f:R rarr[-1,1] be defined as f(x)=cos(sin x), then which of the following is(are) correct?

If phi(x)=lim_(x rarr oo)(x^(2n)(f(x)+g(x)))/(1+x^(2n)) then which of the following is correct

If phi(x)=lim_(n->oo)(x^(2n)(f(x)+g(x)))/(1+x^(2n)) then which of the following is correct

If p(x) is a common multiple of degree 6 of the polynomials f(x) = x^(3)+x^(2)-x-1 and g(x)=x^(3)-x^(2)+x-1 then which one of the following is correct ?