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JEE Math Practice Question

For x > 0, if $$f(x) = \int\limits_1^x {{{{{\log }_e}t} \over {(1 + t)}}dt} $$, then $$f(e) + f\left( {{1 \over e}} \right)$$ is equal to :

  1. A.$${1 \over 2}$$
  2. B.$$-$$1
  3. C.0
  4. D.1

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