Find the Radius of Convergence and the Interval of Convergence $\sum _ { n = 2 } ^ { \infty } \frac { x ^ { n } } { n ( \ln n ) ^ { 8 } }$

question 76

Multiple Choice

Find the radius of convergence and the interval of convergence of the power series. $\sum _ { n = 2 } ^ { \infty } \frac { x ^ { n } } { n ( \ln n ) ^ { 8 } }$

• A) \(R = 0 , I = \{ 0 \}\)
• B) \(R = 1 , I = [ - 1,1 ]\)
• C) \(R = 1 , I = ( - 1,1 )\)
• D) \(R = \infty , I = ( - \infty , \infty )\)

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Definitions:

Vitreous Humor

The clear gel that fills the space between the lens and the retina of the eyeball, helping maintain its shape and allowing light to pass through.

Fibrous Tunic

Outer layer of the eye; composed of the sclera and the cornea.

Transparent

Allowing light to pass through so that objects behind can be distinctly seen; clear; see-through.

Anterior Portion

The anterior portion refers to the front part of an object or organism, often used in anatomical context to describe the position of structures within the body.