For What Values of X Does the Series Converge Conditionally $$\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } x ^ { n } } { n ! }$$

question 180

Multiple Choice

For what values of x does the series converge conditionally?
- $$\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } x ^ { n } } { n ! }$$

• A) \(x = 0\)
• B) \(x = \frac { 1 } { 2 }\)
• C) \(x = - \frac { 1 } { 2 }\)
• D) None

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Definitions:

MC

An abbreviation often used for Marginal Cost, which represents the cost of producing one more unit of a good.

AP

Advanced Placement, a program in the United States and Canada offering college-level curriculum and examinations to high school students.

AVC

Average Variable Cost; the total variable costs divided by the number of units produced, indicating the variable expense per unit of output.

MP

Marginal Product, which refers to the increase in output that results from employing an additional unit of input, holding all other inputs constant.