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Find the Radius of Convergence Of n=1(1)n(x+2)nn3n\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x + 2 ) ^ { n } } { \sqrt { n } 3 ^ { n } }

question 267

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Find the radius of convergence of n=1(1) n(x+2) nn3n\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x + 2 ) ^ { n } } { \sqrt { n } 3 ^ { n } } .

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Definitions:

Least-squares Method

A statistical technique used to determine the line of best fit by minimizing the sum of the squares of the differences between the observed values and the values predicted by the line.

Mixed Cost

Expenses that have both fixed and variable components, changing with levels of production but not in direct proportion.

Variable Cost

A cost that varies with the level of output or sales, such as materials or commissioned labor.

Fixed Cost

A cost that does not vary with the level of output or sales over a certain period, such as rent or salaries.

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