Find the Interval of Convergence For $\sum _ { n = 1 } ^ { \infty } \frac { x ^ { n } } { 4 n ^ { 2 } }$

question 323

Essay

Find the interval of convergence for $\sum _ { n = 1 } ^ { \infty } \frac { x ^ { n } } { 4 n ^ { 2 } }$ .

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Definitions:

Extreme-value Retailers

Retail stores that focus on offering customers very low prices on a wide range of products, typically in less-than-premium shopping environments.

Limited Merchandise Assortment

A retail strategy focusing on carrying only a specific set of products, aiming for efficiency and depth in selected categories.

Outlet Stores

Retail stores that sell merchandise directly from manufacturers at reduced prices, often offering overstocked items, returned goods, or products from past seasons.

Off-price Retailers

Retailers that sell branded goods at significant discounts off the suggested retail price, typically by purchasing overstocked or out-of-season items.