$\arctan \frac { 1 } { 8 }$ Using $R _ { N } \leq 0.001$

question 163

Multiple Choice

$\text { Use the series } \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \frac { x ^ { 2 n + 1 } } { 2 n + 1 } \text { for } f ( x ) = \arctan x \text { to approximate the value of }$ $\arctan \frac { 1 } { 8 }$ using $R _ { N } \leq 0.001$ . Round your answer to three decimal places.

• A) \(0.125\)
• B) \(0.111\)
• C) \(0.143\)
• D) \(0.100\)
• E) \(0.133\)

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Definitions:

Variable Costing

An accounting technique that incorporates just the variable costs of production (such as direct materials, direct labor, and variable manufacturing overhead) into the costs of products.

Fixed Overhead

Regular, static expenses that do not change with the level of production or sales, including rent, salaries, and insurance.

Net Income

The profit of a company after all expenses and taxes have been deducted from revenue.

Inventory

The goods and materials that a business holds for the ultimate goal of resale or processing.