Suppose That the Radius of Convergence of the Power Series $\sum _ { n = 0 } ^ { \infty } c _ { n } x ^ { n }$

question 134

Multiple Choice

Suppose that the radius of convergence of the power series $\sum _ { n = 0 } ^ { \infty } c _ { n } x ^ { n }$ is $9$ . What is the radius of convergence of the power series $\sum _ { n = 0 } ^ { \infty } c _ { n } x ^ { 2 n }$ .

• A) \(252\)
• B) \(3\)
• C) \(1\)
• D) \(256\)
• E) \(16\)

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Definitions:

Storage Fat

Body fat accumulated and stored in adipose tissue, serving as an energy reserve and insulation for the body.

Body Mass Index

A measure of body fat based on height and weight that applies to adult men and women.

Body Fat

The portion of the human body that consists of fat. It plays vital roles in insulation, energy storage, and hormone regulation.

Body Mass Index (BMI)

A numerical value derived from an individual's height and weight, used to classify underweight, normal weight, overweight, and obesity statuses.