Determine If the Series Converges or Diverges $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \ln ( n + 3 ) } - \frac { 1 } { \ln ( n + 4 ) } \right)$$

question 79

Multiple Choice

Determine if the series converges or diverges. If the series converges, find its sum.
- $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \ln ( n + 3 ) } - \frac { 1 } { \ln ( n + 4 ) } \right)$$

• A) converges; \(\frac { 1 } { \ln 3 }\)
• B) diverges
• C) converges; \(\ln 4\)
• D) converges; \(\frac { 1 } { \ln 4 }\)

---

Definitions:

Professional Conduct

Ethical and professional behavior expected of individuals in a particular profession, adhering to standards and guidelines of their field.

Distributive Justice

The principle concerned with the fair and equitable allocation of resources among diverse members of a community.

Egalitarian

Relating to or believing in the principle that all people are equal and deserve equal rights and opportunities.

Social Justice

The equitable distribution of wealth, opportunities, and privileges within a society, aiming at fairness and equality in human rights.