Let `f(n)` be the integer closest to `sqrtn`. The value of `1/(f(1))+1/(f(2))+1/(f(3))+.......+1/(f(2007))+1/(f(2008))=.......`

If f(x) , x^n , then the value of f(1) = (f'(1))/(1!) + (f''(1))/(2!) - (f'''(1))/(3!) + ….+ (((-1)^n f^n (1))/(n!))

Let f(x) =x^n,n si being a positive integer . The value of n for which f^(1)(a+b) =f'^(1)(a)+f^(1)(b) when a , b gt 0 is

Let f(x)=(2007^(x))/(2007^(x)+sqrt(2007)) Then find the value of quad 2007^(x)+sqrt(2007)(1)/(2)+f((2)/(2008))+f((3)/(2008))+...+f((2007)/(2008))