Find the Series' Radius of Convergence $$\sum _ { n = 0 } ^ { \infty } \frac { ( x - 4 ) ^ { 2 n } } { 16 ^ { n } }$$

question 386

Multiple Choice

Find the series' radius of convergence.
- $$\sum _ { n = 0 } ^ { \infty } \frac { ( x - 4 ) ^ { 2 n } } { 16 ^ { n } }$$

• A) \(\infty\), for all \(x\)
• B) 1
• C) 8
• D) 4

---

Definitions:

Consumed Tag

In industrial networking, a data element that a device uses (consumes) which is produced by another device on the network.

Produced Tag

An identifier or label that is created or generated to mark data coming from a particular source, aiding in its identification and processing in information systems.

Data Structure

Organized ways of storing and organizing data in a computer so that it can be used efficiently, including arrays, linked lists, stacks, queues, trees, and graphs.

User-Defined

User-defined refers to features, functions, or elements customized or defined by the user, offering flexibility to tailor systems or applications to specific needs or preferences.