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JEE Math Practice Question

If $\sum\limits_{r=1}^n T_r=\frac{(2 n-1)(2 n+1)(2 n+3)(2 n+5)}{64}$, then $\lim \limits_{n \rightarrow \infty} \sum\limits_{r=1}^n\left(\frac{1}{T_r}\right)$ is equal to :

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

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