Find the Radius of Convergence of the Series $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n + 4 } ( x - 8 ) ^ { n + 4 } } { n + 4 }$

question 26

Multiple Choice

Find the radius of convergence of the series $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n + 4 } ( x - 8 ) ^ { n + 4 } } { n + 4 }$ .

• A)10
• B)7
• C)8
• D)12
• E)4

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Definitions:

Sequential Order

The arrangement of objects, events, or values in a specific sequence where the order is significant.

Dependent Variable

The variable in an experiment that is observed and measured to see how it is affected by the independent variable.

Independent Variables

Elements in an experiment or schematic that are altered or sorted to examine their influence on variables that rely on them.

Forecast

A prediction or estimate of future events or trends, often based on analysis of past and present data.