Let `f(x)=(2007^x)/(2007^x+sqrt2007)` Then find the value of `1/2+f(2/2008)+f(3/2008)+...+f(2007/2008)`

Let f(x)=((2007)^(x))/((2007)^(x)+sqrt(2007)) then the sum f((1)/(2007))+f((2)/(2007))+f((3)/(2007))+....f((2006)/(2007))

If f(x+y) =f(xy) AA x, y in R and if f(2008) = 2008 then find the value of f(2009).

Range of f(x)=(2008^(x)+2008^(-x))/(2) is

If sin x_(1)+sin x_(2) + sin x_(3)+...+sin x_(2008)=2008 then find the value of sin^(2008) x_( 1)+sin^(2008)x_(2) + sin^(2008)x_(3)+...+sin^(2008)x_(2008) .

If sin x_(1)+sin x_(2) + sin x_(3)+...+sin x_(2008)=2008 then find the value of sin^(2008) x_( 1)+sin^(2008)x_(2) + sin^(2008)x_(3)+...+sin^(2008)x_(2008) .

((2007)!)/((2007)n) is an integer & n in N , then find maximum value of n.

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

if int_0^1 x(1-x)^(2007//2)dx then it equals

Coefficient of x^(2012) in (1-x)^(2008)(1+x+x^2)^2007