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Use the Ratio Test to Determine the Convergence or Divergence $\sum _ { n = 0 } ^ { \infty } \frac { ( - 6 ) ^ { n } 2 ^ { n } } { n ! }$

question 3

Multiple Choice

Use the Ratio Test to determine the convergence or divergence of the series $\sum _ { n = 0 } ^ { \infty } \frac { ( - 6 ) ^ { n } 2 ^ { n } } { n ! }$ .

Definitions:

Anorexia Nervosa

An eating disorder characterized by an intense fear of gaining weight and a distorted body image, leading to restricted food intake and extreme thinness.

Hypokalemia

A medical condition characterized by lower than normal levels of potassium in the bloodstream, which can affect heart and muscle function.

Serum Potassium

The concentration of potassium in the blood serum, important for regulating heart and muscle function.

Electrolyte Imbalances

Disruption in the levels of minerals in the body essential for muscle contractions, nerve impulses, and hydration.

Use the Ratio Test to Determine the Convergence or Divergence ∑n=0∞(−6)n2nn!\sum _ { n = 0 } ^ { \infty } \frac { ( - 6 ) ^ { n } 2 ^ { n } } { n ! }∑n=0∞​n!(−6)n2n​

Definitions:

Use the Ratio Test to Determine the Convergence or Divergence $\sum _ { n = 0 } ^ { \infty } \frac { ( - 6 ) ^ { n } 2 ^ { n } } { n ! }$