Determine Convergence or Divergence of the Alternating Series $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \ln \left[ \frac { 3 n + 7 } { 2 n + 6 } \right]$$

question 439

Multiple Choice

Determine convergence or divergence of the alternating series.
- $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \ln \left[ \frac { 3 n + 7 } { 2 n + 6 } \right]$$

• A) Diverges
• B) Converges

---

Definitions:

Overextension

A linguistic phenomenon in early child language acquisition where a child applies a word more broadly than its usual adult meaning.

Pragmatic Error

A mistake in language use or understanding that occurs when the rules of social language interaction are violated, affecting the effectiveness of communication.

Syntactical Error

A violation of the rules that govern the structure of sentences in a given language, often leading to confusion or misunderstanding in communication.

Performance-Oriented

Focused on achieving specific outcomes or levels of success, often measured by external standards or comparisons with others.