Find the Maclaurin Series for the Given Function $\cos ( - 8 x )$

question 120

Multiple Choice

Find the Maclaurin series for the given function.
- $\cos ( - 8 x )$

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

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Definitions:

Modern Environment

The contemporary physical, social, economic, and political surroundings in which individuals or societies exist.

Laws Of Probability

The mathematical rules that describe the likelihood of certain events occurring, which govern random events and can predict the outcomes of complex systems.

Gambler's Fallacy

The false notion that if an event takes place more often than usual over a certain span, its occurrence will diminish in the future, or the contrary.

Availability Heuristic

A quick judgment method drawn from examples that surface quickly in one's thoughts when deliberating over a specific area, theory, approach, or verdict.