JEE MAIN - Mathematics Hindi (2023 - 25th January Morning Shift - No. 5)

$$\lim _\limits{n \rightarrow \infty} \frac{1+2-3+4+5-6+\ldots \ldots+(3 n-2)+(3 n-1)-3 n}{\sqrt{2 n^{4}+4 n+3-\sqrt{n^{4}+5 n+4}}}$$ का मान है
$$\frac{3}{2 \sqrt{2}}$$
$$\frac{3}{2}(\sqrt{2}+1)$$
$$3(\sqrt{2}+1)$$
$$\frac{\sqrt{2}+1}{2}$$

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