Determine Convergence or Divergence of the Alternating Series $$\sum _ { n = 1 } ^ { \infty } \frac { ( - 2 ) ^ { n } } { 4 n ^ { 4 } + 8 ^ { n } }$$

question 223

Multiple Choice

Determine convergence or divergence of the alternating series.
- $$\sum _ { n = 1 } ^ { \infty } \frac { ( - 2 ) ^ { n } } { 4 n ^ { 4 } + 8 ^ { n } }$$

• A) Converges
• B) Diverges

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Definitions:

Natural Selection

A fundamental mechanism of evolution where organisms better adapted to their environment tend to survive and produce more offspring.

Variability

The degree to which different data points in a set differ from each other and from their average value.

Competition

A situation in which individuals or groups strive against one another to achieve a goal that is limited and cannot be shared.

Melting-pot View

The perspective that different cultures, peoples, or societies blend together into a single, homogeneous culture, losing their individual identities.