Find the Taylor Polynomial of Degree 4 at 0 for the Function

question 159

Essay

Find the Taylor polynomial of degree 4 at 0 for the function defined by $f ( x ) = \ln ( 1 + x )$ . Then compute the value of $\ln ( 1.1 )$ accurate to as many decimal places as the polynomial of degree 4 allows.

---

Definitions:

Required Return

The minimum return investors expect to receive on an investment, considering the risk associated with the investment.

Stock Price

The current price at which a share of a company can be bought or sold on the stock market.

Dividend Growth Rate

Dividend Growth Rate is the annualized percentage rate of growth of a company's dividend payments over time.

Investor's Return

The profit or loss realized on an investment over a specified period, often expressed as a percentage of the investment’s initial cost.