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JEE Math Practice Question

$\lim\limits_{n \rightarrow \infty} \frac{3}{n}\left\{4+\left(2+\frac{1}{n}\right)^2+\left(2+\frac{2}{n}\right)^2+\ldots+\left(3-\frac{1}{n}\right)^2\right\}$ is equal to :

  1. A.0
  2. B.$\frac{19}{3}$
  3. C.19
  4. D.12

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