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JEE Math Practice Question

The sum of the serier $${1 \over {1.2}} - {1 \over {2.3}} + {1 \over {3.4}}..............$$ up to $$\infty $$ is equal to

  1. A.$$\log {\,_e}\left( {{4 \over e}} \right)\,\,$$
  2. B.$$2\,\log {\,_e}2$$
  3. C.$$\log {\,_e}2 - 1\,$$
  4. D.$$\log {\,_e}2$$

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