JEE Math Practice Question
If S is the sum of the first 10 terms of the series $${\tan ^{ - 1}}\left( {{1 \over 3}} \right) + {\tan ^{ - 1}}\left( {{1 \over 7}} \right) + {\tan ^{ - 1}}\left( {{1 \over {13}}} \right) + {\tan ^{ - 1}}\left( {{1 \over {21}}} \right) + ....$$ then tan(S) is equal to :
- A.$${10 \over {11}}$$
- B.$${5 \over {11}}$$
- C.-$${6 \over {5}}$$
- D.$${5 \over {6}}$$
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