diketahui fungsi bilangan real f(x)= x/ 1-x, untuk x= 1 nilai dari f(2.016)+f(2.015)+.....+f(3)+f(2)+f(1/2)+f(1/3)+......+f(1/2.015)+f(1/2.016) adalah

f(x) = x /(1- x)

f(2) = -2
f(1/2) =1
f(2) + f(1/2) = -1

f(3) = -3/2
f(1/3) = 1/2
f(3) + f(1/3) = -1

f(2015) = - 2015/2014
f(1/2015) = 1/2014
f(2015) + f(1/2015) = - 1

f(2016) = -2016/2015
f(1/2016) = 1/2015
f(2016) + f(1/2016) = -1

{f(1/2) + f(2)} + {f(1/3) + f(3)} +...+ {f(1/2015)+ f(2015)} + {f(1/2016) + f(2016)}
= 2016/2 (-1) = -1018