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JEE Math Practice Question

$$\mathop {\lim }\limits_{n \to \infty } {{1 + {2^4} + {3^4} + .... + {n^4}} \over {{n^5}}}$$ - $$\mathop {\lim }\limits_{n \to \infty } {{1 + {2^3} + {3^3} + .... + {n^3}} \over {{n^5}}}$$

  1. A.$${1 \over 5}$$
  2. B.$${1 \over 30}$$
  3. C.zero
  4. D.$${1 \over 4}$$

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