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JEE Math Practice Question

$$\mathop {\lim }\limits_{n \to \infty } \left( {{{{{(n + 1)}^{1/3}}} \over {{n^{4/3}}}} + {{{{(n + 2)}^{1/3}}} \over {{n^{4/3}}}} + ....... + {{{{(2n)}^{1/3}}} \over {{n^{4/3}}}}} \right)$$ is equal to :

  1. A.$${4 \over 3}{\left( 2 \right)^{3/4}}$$
  2. B.$${3 \over 4}{\left( 2 \right)^{4/3}} - {3 \over 4}$$
  3. C.$${4 \over 3}{\left( 2 \right)^{4/3}}$$
  4. D.$${3 \over 4}{\left( 2 \right)^{4/3}} - {4 \over 3}$$

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