Find the Taylor Polynomial of Order 3 Generated by F $$f ( x ) = \frac { 1 } { x + 3 } , a = 1$$

question 177

Multiple Choice

Find the Taylor polynomial of order 3 generated by f at a.
- $$f ( x ) = \frac { 1 } { x + 3 } , a = 1$$

• A) \(P _ { 3 } ( x ) = \frac { 1 } { 2 } - \frac { x - 1 } { 4 } + \frac { ( x - 1 ) ^ { 2 } } { 8 } - \frac { ( x - 1 ) ^ { 3 } } { 16 }\)
• B) \(P _ { 3 } ( x ) = \frac { 1 } { 4 } - \frac { x + 1 } { 16 } + \frac { ( x + 1 ) ^ { 2 } } { 64 } - \frac { ( x + 1 ) ^ { 3 } } { 256 }\)
• C) \(\mathrm { P } _ { 3 } ( \mathrm { x } ) = \frac { 1 } { 4 } - \frac { \mathrm { x } - 1 } { 16 } + \frac { ( \mathrm { x } - 1 ) ^ { 2 } } { 64 } - \frac { ( \mathrm { x } - 1 ) ^ { 3 } } { 256 }\)
• D) \(\mathrm { P } _ { 3 } ( \mathrm { x } ) = \frac { 1 } { 2 } - \frac { \mathrm { x } + 1 } { 4 } + \frac { ( \mathrm { x } + 1 ) ^ { 2 } } { 8 } - \frac { ( \mathrm { x } + 1 ) ^ { 3 } } { 16 }\)

Understand how language facilitates communication about non-shared experiences.

Identify and explain the concept of code-switching within language use.

Understand the use of linguistic modification strategies.

Recognize the role of nonverbal cues in communication and their interpretation.

---

Definitions:

Funding

Financial support or resources provided to businesses, organizations, or individuals for a specific purpose, such as operations, projects, or investments.

Cost of Debt Capital

The effective rate that a company pays on its current debt, which can be measured as the after-tax rate of return to lenders or creditors.

Creditors Demand

The situation in which creditors request or require payment of money owed to them by the company.

New Borrowings

Funds that a company or government secures by entering into a new loan agreement.