Find the Radius of Convergence of the Power Series $\sum _ { n = 1 } ^ { \infty } \frac { ( x - 6 ) ^ { n - 1 } } { 6 ^ { n - 1 } }$

question 40

Multiple Choice

Find the radius of convergence of the power series. $\sum _ { n = 1 } ^ { \infty } \frac { ( x - 6 ) ^ { n - 1 } } { 6 ^ { n - 1 } }$

• A) \(- 6\)
• B)1
• C) \(6\)
• D)-1
• E)0

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Definitions:

Axon

A thin, extended part of a neuron, also known as a nerve cell, that often transmits electrical impulses away from the cell's central body.

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Non-neuronal cells in the central nervous system that support, protect, and nourish neurons, playing a crucial role in maintaining homeostasis and forming myelin.

Insulating

The act of preventing the transfer of heat, electricity, or sound from one material to another.

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