JEE Math Practice Question
The value of $$\mathop {\lim }\limits_{n \to \infty } {{1 + 2 - 3 + 4 + 5 - 6\, + \,.....\, + \,(3n - 2) + (3n - 1) - 3n} \over {\sqrt {2{n^4} + 4n + 3} - \sqrt {{n^4} + 5n + 4} }}$$ is :
- A.$${3 \over {2\sqrt 2 }}$$
- B.$${3 \over 2}(\sqrt 2 + 1)$$
- C.$$3(\sqrt 2 + 1)$$
- D.$${{\sqrt 2 + 1} \over 2}$$
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