Determine Whether the Sequence Converges or Diverges $a _ { n } = 2 e ^ { 4 n / ( n + 2 ) }$

question 74

Short Answer

Determine whether the sequence converges or diverges. If it converges, find the limit. $a _ { n } = 2 e ^ { 4 n / ( n + 2 ) }$

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Definitions:

Basement Membrane

A slim, compact extracellular matrix layer that divides epithelial or endothelial cells from the connective tissue beneath, crucial for tissue renewal, filtration, and communication between cells.

Epithelium

Layers of cells covering internal and external surfaces of the body, including skin, glands, and digestive tract linings.

Major Manifestations

Principal signs or symptoms indicating the presence of a disease or condition.

Inflammation

A biological response to harmful stimuli, such as pathogens or damaged cells, characterized by redness, swelling, heat, and pain.