[Solution] You have to show work. Use the comparison test to determine whether the series converges: ∑_n=2^∞ (n)/(√[3]n^2-1) Use the ratio


Question: You have to show work.

  1. Use the comparison test to determine whether the series converges:
    \[\sum_{n=2}^{\infty} \frac{n}{\sqrt[3]{n^{2}-1}}\]
  2. Use the ratio test to determine whether the series converges:
\[\sum_{n=0}^{\infty}\left(\frac{8}{9}\right)^{\frac{n}{2}}\]

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