Use a Taylor Polynomial at 0 to Approximate the Expression

question 2

Multiple Choice

Use a Taylor polynomial at 0 to approximate the expression with an error of no more than 0.000005. Select the polynomial
of lowest degree that can be used to obtain this accuracy and state the degree of this polynomial. Round to six decimal
places.
-

• A) 0.048792; n = 3
• B) 0.04875; n = 2
• C) 0.048790; n = 3
• D) 0.048790; n = 4

---

Definitions:

Royal Legitimacy

The rightful authority and recognition of a monarch or royal family based on historical, legal, or divine principles.

Popular Sovereignty

The principle that the authority of a state and its government is created and sustained by the consent of its people, through their elected representatives, who are the source of all political power.

Adam Smith

A Scottish economist and philosopher, best known for his works "The Wealth of Nations," which laid the foundations for classical economics.

The Wealth of Nations

A seminal book by Adam Smith that laid the foundations of classical economics, emphasizing free markets, the division of labor, and the function of self-interest in commerce.