Use the First Six Terms to Predict the Limit of the Sequence

question 112

Multiple Choice

Use the first six terms to predict the limit of the sequence $\alpha _ { n } = \frac { 7 n ^ { 3 } } { n ^ { 3 } + 4 }$ (assume n begins with 1) .

• A)7
• B) \(\frac { 42 } { 5 }\)
• C) \(\frac { 33 } { 8 }\)
• D)6
• E)the sequence diverges

---

Definitions:

St. Louis World's Fair

An international exposition held in 1904 in St. Louis, Missouri, also known as the Louisiana Purchase Exposition, celebrating the centennial of the Louisiana Purchase.

American Expansion

The historical growth of the United States territorially across North America and overseas, from colonial times through the 19th and early 20th centuries.

Thomas Jefferson

The third President of the United States (1801–1809), principal author of the Declaration of Independence, and a founding father of the nation.

European Powers

Countries in Europe with significant political, military, or economic influence.