[See] Determine if the following series converge or diverge using comparison. ∑_n=1^∞ (n^3)/(n^4-1) ∑_n=1^∞ (n+5)/(√[3]n^7+n^2)


Question: Determine if the following series converge or diverge using comparison.

  1. \(\sum_{n=1}^{\infty} \frac{n^{3}}{n^{4}-1}\)
  2. \(\sum_{n=1}^{\infty} \frac{n+5}{\sqrt[3]{n^{7}+n^{2}}}\)
  3. \(\sum_{n=1}^{\infty} \frac{n+4^{n}}{n+6^{n}}\)
  4. \(\sum_{n=0}^{\infty} \frac{1+\sin n}{10^{n}}\)

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