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Limits Continuity and Differentiability question

2022 · 28 Jun · Shift 2 · Q38

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 28 Jun · Shift 2 · Q38

Limits Continuity and Differentiability question

2022 · 28 Jun · Shift 2 · Q38

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

The value of

\mathop {\lim }\limits_{n \to \infty } 6\tan \left\{ {\sum\limits_{r = 1}^n {{{\tan }^{ - 1}}\left( {{1 \over {{r^2} + 3r + 3}}} \right)} } \right\}

is equal to :

A
1
B
2
C
3
D
6

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