Determine the Convergence or Divergence of the Series Using Any $\sum _ { n = 1 } ^ { \infty } \frac { 6 n } { n + 9 }$

question 142

Multiple Choice

Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. $\sum _ { n = 1 } ^ { \infty } \frac { 6 n } { n + 9 }$

• A) both diverges; Ratio Test and diverges; Theorem \(9.9 \left( n ^ { \text {th } } \right.\) Term Test for Divergence)
• B) converges; Integral Test
• C) diverges; Theorem \(9.9\) ( \(n ^ { \text {th } }\) Term Test for Divergence)
• D) converges; \(p\)-series
• E) diverges; Ratio Test

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