Find the Maclaurin Series for the Given Function $\sin 8 x$

question 158

Multiple Choice

Find the Maclaurin series for the given function.
- $\sin 8 x$

• A) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { 2 n + 1 } 8 ^ { 2 n + 1 } x ^ { 2 n + 1 } } { n ! }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } 8 ^ { 2 n + 1 } x ^ { 2 n + 1 } } { n ! }\)
• C) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { 2 n + 1 } 8 ^ { 2 n + 1 } x ^ { 2 n + 1 } } { ( 2 n + 1 ) ! }\)
• D) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } 8 ^ { 2 n + 1 } x ^ { 2 n + 1 } } { ( 2 n + 1 ) ! }\)

---

Definitions:

Programmable Watch

A wristwatch with smart capabilities that can be programmed for various functions beyond timekeeping, such as fitness tracking or notifications.

Variable Cost

Expenses that change in proportion to the activity of a business.

Perceived Value

The customer's evaluation of the worth of a product or service based on its ability to meet their needs and expectations, rather than its objective cost or value.

Cost Competitive Parity

A pricing strategy where a company sets its product prices based on competitors' prices to stay competitive.