Find the Limit of the Sequence If It Converges; Otherwise $$a _ { n } = \ln \left( 1 + \frac { 6 } { n } \right) ^ { n }$$

question 432

Multiple Choice

Find the limit of the sequence if it converges; otherwise indicate divergence.
- $$a _ { n } = \ln \left( 1 + \frac { 6 } { n } \right) ^ { n }$$

• A) 6
• B) ln 6
• C) 0
• D) Diverges

---

Definitions:

Interphase

The phase of the cell cycle during which a cell grows, duplicates its DNA, and prepares for division.

Centrioles

Cylindrical structures in animal cells that play a key role in cell division.

DNA Replicates

The process by which a cell copies its DNA prior to cell division, ensuring that each new cell receives a complete set of genetic information.

Chromosomes

Thread-like structures located inside the nucleus of animal and plant cells, made of protein and a single molecule of DNA, which carries genetic information.