The value of \( \lim _{n \rightarrow \infty} \frac{1^{3}+2^{3}+3^{3}+\ldots+n^{3}}{\left(n^{2}+1...

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The value of \( \lim _{n \rightarrow \infty} \frac{1^{3}+2^{3}+3^{3}+\ldots+n^{3}}{\left(n^{2}+1\right)^{2}} \) is
(a) \( \frac{1}{4} \)
(b) \( \frac{1}{2} \)
(c) \( \frac{1}{2 \sqrt{2}} \)
(d) None of these
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