A function f(x) is given by $f(x) = {{{5^x}} \over {{5^x} + 5}}$, then the sum of the series $f\left( {{1 \over {20}}} \right) + f\left( {{2 \over {20}}} \right) + f\left( {{3 \over {20}}} \right) + ....... + f\left( {{{39} \over {20}}} \right)$ is equal to :

Question

${{{39} \over 2}}$

${{{19} \over 2}}$

${{{49} \over 2}}$

${{{29} \over 2}}$

Solution

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