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JEE Math Practice Question

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 :

  1. A.$${{{39} \over 2}}$$
  2. B.$${{{19} \over 2}}$$
  3. C.$${{{49} \over 2}}$$
  4. D.$${{{29} \over 2}}$$

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