Use Series to Evaluate the Limit $$\lim _ { x \rightarrow \infty } x ^ { 3 } \left( \sin \frac { 10 } { x } - \tan \frac { 10 } { x } \right)$$

question 376

Multiple Choice

Use series to evaluate the limit.
- $$\lim _ { x \rightarrow \infty } x ^ { 3 } \left( \sin \frac { 10 } { x } - \tan \frac { 10 } { x } \right)$$

• A) \(- 500\)
• B) \(- 5\)
• C) \(- 50\)
• D) \(- \frac { 1 } { 2 }\)

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Definitions:

Retail Inventory Method

An accounting technique used to estimate inventory value by comparing the cost of goods sold to the total sales.