Find the Radius of Convergence and the Interval of Convergence $$\sum _ { n = 0 } ^ { \infty } \frac { ( 7 x ) ^ { n } } { n ! }$$

question 40

Multiple Choice

Find the radius of convergence and the interval of convergence of the power series.
$$\sum _ { n = 0 } ^ { \infty } \frac { ( 7 x ) ^ { n } } { n ! }$$

• A) \(R = 7 , I = ( - 7,7 )\)
• B) \(R = 0 , I = \{ 0 \}\)
• C) \(R = 7 , I = [ - 7,7 ]\)
• D) \(R = \infty , I = ( - \infty , \infty )\)

---

Definitions:

Fair Value

The estimated market value of an asset or liability in an arm's length transaction between informed and willing parties.

Investment Income

Income received from the assets invested in, such as dividends, interest, or rental income.

Common Stock

Shares of ownership in a corporation that grant holders voting rights and a share of the company’s profits through dividends.

Long-Term Investment

Investments a company intends to hold for more than one year, typically including stocks, bonds, or real estate.