Let `f(x)` be a polynomial of degree 4 such that `f (1)=1, f(2)= 2, f(3)= 3, f(4)=4` and ` Lim_(x->oo) (xf(x))/(x^5+1)=1` then value of `f(6)` is

If f(x) is a polynomial of least degree such that f(1)=1,f(2)=(1)/(2),f(3)=(1)/(3),f(4)=(1)/(4) then f(5)=

If f (x) is polynomial of degree two and f(0) =4 f'(0) =3,f''(0) =4,then f(-1) =

Let f(x) be a polynomial function such that f(x). f(1/x) = f(x) + f(1/x). If f(4) = 65, then f^(')(x) =

If f (x) is a polynomial of degree two and f(0) =4 f'(0) =3,f'' (0) 4 then f(-1) =

Let f(x) polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4,f(3)=3,f(4)=2,f(5)=1, then f(6) is equal to

Let f(x) polynomial of degree 5 with leading coefficient unity such that f(1)=5 ,f(2)=4,f(3)=3,f(4)=2,f(5)=1, then f(6) is equal to

Let f(x) be a polynomial of degree 4 on R such that lim_(x rarr1)(f(x))/((x-1)^(2))=1 If f'(0)=-6 and f'(2)=6, then find global maximum value of f(x) in [(1)/(2),2]

Let f(x) be a polynomial of degree four having extreme values at x = 1 and x = 2. If lim_(x to 0) [1+(f(x))/(x^(2))]=3 , then f(2) is equal to :

if f(2)=4,f'(2)=1 then lim_(x->2){xf(2)-2f(x)}/(x-2)

Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. If lim_(x to 0)(1+(f(x))/(x^(2)))=3, then f(2) is equal to