Use Substitution to Find the Taylor Series at X = $$e ^ { - 8 x }$$

question 375

Multiple Choice

Use substitution to find the Taylor series at x = 0 of the given function.
- $$e ^ { - 8 x }$$

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

Evaluate the political and social consequences of World War I on Europe and the wider world.

Identify the roles and perspectives of various nations involved in World War I.

Discuss the causes and effects of major battles and campaigns during World War I.

Assess the influence of colonial and imperial dynamics on World War I and its aftermath.

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Definitions:

Good Y

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A carbonated soft drink produced and manufactured by PepsiCo, known worldwide and serving as a major competitor to Coca-Cola.

Pizza

A popular dish of Italian origin consisting of a flat round base of dough topped with tomatoes, cheese, and various other ingredients, baked quickly.

Trade-off

A case where the gain of one property or aspect comes at the cost of losing another.