JEE Math Practice Question
The value of $$\mathop {\lim }\limits_{n \to \infty } {1 \over n}\sum\limits_{j = 1}^n {{{(2j - 1) + 8n} \over {(2j - 1) + 4n}}} $$ is equal to :
- A.$$5 + {\log _e}\left( {{3 \over 2}} \right)$$
- B.$$2 - {\log _e}\left( {{2 \over 3}} \right)$$
- C.$$3 + 2{\log _e}\left( {{2 \over 3}} \right)$$
- D.$$1 + 2{\log _e}\left( {{3 \over 2}} \right)$$
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