Mark the correct alternative in each of the following: \( \lim _{n \rightarrow \infty} \frac{1-2...

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Mark the correct alternative in each of the following: \( \lim _{n \rightarrow \infty} \frac{1-2+3-4+5-6+\ldots+(2 n-1)-2 n}{\sqrt{n^{2}+1}+\sqrt{n^{2}-1}} \) is equal to
(A) \( \frac{1}{2} \)
(B) \( -\frac{1}{2} \)
(C) 1
(D) \( -1 \)
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