JEE MAIN - Mathematics Hindi (2020 - 5th September Morning Slot - No. 18)
यदि S शृंखला के पहले 10 पदों का योग है
$${\tan ^{ - 1}}\left( {{1 \over 3}} \right) + {\tan ^{ - 1}}\left( {{1 \over 7}} \right) + {\tan ^{ - 1}}\left( {{1 \over {13}}} \right) + {\tan ^{ - 1}}\left( {{1 \over {21}}} \right) + ....$$
तो tan(S) का मान है :
$${\tan ^{ - 1}}\left( {{1 \over 3}} \right) + {\tan ^{ - 1}}\left( {{1 \over 7}} \right) + {\tan ^{ - 1}}\left( {{1 \over {13}}} \right) + {\tan ^{ - 1}}\left( {{1 \over {21}}} \right) + ....$$
तो tan(S) का मान है :
$${10 \over {11}}$$
$${5 \over {11}}$$
-$${6 \over {5}}$$
$${5 \over {6}}$$
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