Find the Limit of the Sequence (If It Exists) $\alpha _ { n } = \frac { ( n + 6 ) ! } { n ! }$

question 144

Multiple Choice

Find the limit of the sequence (if it exists) . $\alpha _ { n } = \frac { ( n + 6 ) ! } { n ! }$

• A) \(\lim_ { n \rightarrow \infty }\alpha _ { n } = - 6\)
• B) \(\lim_ { n \rightarrow \infty } \alpha _ { n } = 0\)
• C) \(\lim_ { n \rightarrow \infty } \alpha _ { n } = 1\)
• D) \(\lim_ { n \rightarrow \infty } \alpha _ { n } = 6\)
• E) \(\lim _ { n \rightarrow \infty }a _ { n } = \infty\)

---

Definitions:

Healthier

A state or condition of improved physical, mental, or emotional well-being.

Popular Internet

The term "Popular Internet" broadly refers to the most frequented or widely used websites and services on the internet.

Ladies' Shoes

Footwear specifically designed and manufactured for women, available in various styles and sizes for different occasions.

Tourette's Syndrome

A neurological disorder characterized by repetitive, involuntary movements and vocalizations called tics.