JEE Main 202125 Feb, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002A function f(x) is given by f(x)=5x5x+5f(x) = {{{5^x}} \over {{5^x} + 5}}f(x)=5x+55x, then the sum of the series f(120)+f(220)+f(320)+.......+f(3920)f\left( {{1 \over {20}}} \right) + f\left( {{2 \over {20}}} \right) + f\left( {{3 \over {20}}} \right) + ....... + f\left( {{{39} \over {20}}} \right)f(201)+f(202)+f(203)+.......+f(2039) is equal to :AOption A. 392{{{39} \over 2}}239BOption B. 192{{{19} \over 2}}219COption C. 492{{{49} \over 2}}249DOption D. 292{{{29} \over 2}}229CheckSkip · show solution