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 a polynomial of degree 2, such that f(0)=3,f'(0)=-7,f''(0)=8 int_(1)^(2)f(x)dx=

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 rarr oo)(xf(x))/(x^(5)+1)=1 then value of f(6) is

If f(x) is a polynomial of degree three with leading coefficient 1 such that f(1)=1,f(2)= 4,f(3)=9 then

Let f(x) be a polynomial of least degree such that lim_(x rarr0)(1+(x^(4)+f(x^(2)))/(x^(3)))^(1/x)=e^(3), then write the value of f(3)

Find a polynomial f(x) of degree 2 where f(0)=8, f(1)=12, f(2)=18

Let f (x) be a polynomial of degree 8 such that F(r)=1/r, r=1,2,3,…,8,9, then (1)/(F(10)) =

If f(x) is a polynomial function of the second degree such tha f(0)=5, f(-1)=10 and f(1)= 6 then f(x)=_____.

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x) - f((1)/(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) be a polynomial of degree 3 such that f(3)=1,f'(3)=-1,f''(3)=0, and f'''(3)=12 Then the value of f'(1) is (a)12(b)23(c)-13 (d) none of these