If f(x) is the least degree polynomial such that `f(n)=1/n,n = 1,2,3,4,5,` then write the value of .. `120f(0)-270`

If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,....,f(n)=n/(n+1) , ,then the value of f (n+ 1) is

If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,....,f(n)=n/(n+1) , ,then the value of f (n+ 1) is

If f(x) is a polynomial of degree n such that f(0)=0,f(x)=(1)/(2),...,f(n)=(n)/(n+1) then the value of f(n+1) is

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)

Let f(x) be a polynomial of degree 2005 with leading coefficient 2006 such that f(n)=n for n=1,2,3,...,2005. The number of zeros at the ends of f(2006)-2006 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 a polynomial of degree two and f(0) =4 f'(0) =3,f'' (0) 4 then f(-1) =

Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)=2a n d(lim)_(xvec1)(f(x))/((x-1)^2)=1 The value of f(2) is 3 b. 1 c. 0 d. 2