Question Number 19154 by khamizan833@yahoo.com last updated on 06/Aug/17
$$\mathrm{If}\:{f}\left({x}\right)\:=\:\frac{\mathrm{9}^{{x}} }{\mathrm{9}^{{x}} \:+\:\mathrm{3}},\:\mathrm{find}\:\mathrm{the}\:\mathrm{value} \\ $$$${f}\left(\frac{\mathrm{1}}{\mathrm{2007}}\right)\:+\:{f}\left(\frac{\mathrm{2}}{\mathrm{2007}}\right)\:+\:{f}\left(\frac{\mathrm{3}}{\mathrm{2007}}\right)\:+\:...\:+\:{f}\left(\frac{\mathrm{2006}}{\mathrm{2006}}\right) \\ $$