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The value of
$lim_{n \to \infty} (\frac{1}{1^{3} + n^{3}} + \frac{2^{2}}{2^{3} + n^{3}} + \dots + \frac{n^{2}}{n^{3} + n^{3}})$ is

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Correct option is B

given limit=∫01x21+x3dx=13log1+x310=13log2

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The value of limn→∞ 113+n3+2223+n3+⋯+n2n3+n3 is

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The value of
$lim_{n \to \infty} (\frac{1}{1^{3} + n^{3}} + \frac{2^{2}}{2^{3} + n^{3}} + \dots + \frac{n^{2}}{n^{3} + n^{3}})$ is