JEE Main 202124 Feb, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002limn→∞tan{∑r=1ntan−1(11+r+r2)}\mathop {\lim }\limits_{n \to \infty } \tan \left\{ {\sum\limits_{r = 1}^n {{{\tan }^{ - 1}}\left( {{1 \over {1 + r + {r^2}}}} \right)} } \right\}n→∞limtan{r=1∑ntan−1(1+r+r21)} is equal to ______.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution