Let f(x)be a monotic ploynomial of degree (2m-1) where `m in N` Then the equation
`f(x)-f(3x)+f(5x)+….+f((2m -1)` has

Let f(x)=lim_(m->oo){lim_(n->oo)cos^(2m)(n !pix)}, where x in Rdot Then the range of f(x)

Let f(x)-2x-x^(2),x<=1 then the roots of the equation f(x)=f^(-1)(x) is

Let f (x) be invertible function and let f ^(-1) (x) be is inverse. Let equation f (f ^(-1) (x)) =f ^(-1)(x) has two real roots alpha and beta (with in domain of f(x)), then :

Let f (x) be invertible function and let f ^(-1) (x) be is inverse. Let equation f (f ^(-1) (x)) =f ^(-1)(x) has two real roots alpha and beta (with in domain of f(x)), then :

Let f(x) be a polynomial of degree 3 such that f(-2)=5, f(2)=-3, f'(x) has a critical point at x = -2 and f''(x) has a critical point at x = 2. Then f(x) has a local maxima at x = a and local minimum at x = b. Then find b-a.

Let f(x) be a polynomial of degree 3 such that f(-2)=5, f(2)=-3, f'(x) has a critical point at x = -2 and f''(x) has a critical point at x = 2. Then f(x) has a local maxima at x = a and local minimum at x = b. Then find b-a.

Let f(x)= x^3+3x^2+6x+2sinx , then the equation 1/(x-f(1))+2/(x-f(2))+3/(x-f(3))=0 ,has

Let y=f(x) be a differentiable function such that f(-1)=2,f(2)=-1 and f(5)=3 then the equation f'(x)=2f(x) has

Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) , where m!=n . Then,