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Series Convergence Using The Limit Comparison Test

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Which of the following statements is true for the series $\sum \frac{\sqrt{n^2+1}}{n^2\sqrt{n}}$?

A

Convergent by Limit Comparison with ∑1/n^(3/2)

B

Divergent because lim(n→∞) aₙ = 0

C

Convergent by Direct Comparison with ∑1/n

D

Divergent by Limit Comparison with ∑1/n

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