Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. A) both diverges; Ratio Test and diverges; Theorem 9.9 (n^th Term Test for Divergence) B) converges; Integral Test C) diverges; Theorem 9.9 (n^th Term Test for Divergence) D) converges; p-series E) diverges; Ratio Test

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The given series diverges as the limit of the nth term does not converge to zero. This can be shown using Theorem 9.9 (n^th Term Test for Divergence). The other tests mentioned (Ratio Test, Integral Test, and p-Series Test) cannot be used to determine the convergence or divergence of the series.

Determine the Convergence or Divergence of the Series Using Any