Find a Power Series Representation for the Function and Determine $$f ( x ) = \arctan \left( \frac { x } { 3 } \right)$$

question 95

Short Answer

Find a power series representation for the function and determine the radius of convergence.
$$f ( x ) = \arctan \left( \frac { x } { 3 } \right)$$

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Definitions:

Producer Surplus

The difference between what producers are willing to sell a product for and the actual price at which they sell it.

Market Supply Elasticity

A measure of how much the quantity supplied of a good changes in response to a change in price.

Supply Curves

Graphical representations showing the relationship between the price of a good and the amount of it that producers are willing to supply at that price.

Average Variable Cost

The total variable costs of production divided by the quantity of output produced, indicating the cost to produce an additional unit when fixed costs are excluded.