Find the Interval of Convergence Of $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { 2 n ^ { 2 } }$

question 284

Multiple Choice

Find the interval of convergence of $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { 2 n ^ { 2 } }$ .

• A) \([ - 1,1 ]\)
• B) \(( - 1,1 ]\)
• C) \(( - 1,1 )\)
• D) \([ - 1,1 )\)
• E) \([ - 2,2 ]\)
• F) \(( - 2,2 ]\)
• G) \(( - 2,2 )\)
• H) \([ - 2,2 )\)

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Definitions:

Simple Squamous Epithelium

A single layer of flat cells lining surfaces involved in diffusion and filtration, such as blood vessels and lungs.

Connective Tissue

A type of tissue in the body that supports, binds together, or separates other tissues and organs, made up of cells embedded in an extracellular matrix.

Chondrocytes

Cells found within the cartilage that produce and maintain the cartilaginous matrix.

Cartilage

A flexible, rubbery connective tissue found in various parts of the body, such as the joints, ear, and nose, providing support and structure.