Determine Whether the Sequence Defined By $a _ { n } = \frac { 5 ^ { n } } { 8 ^ { n } + 1 }$

question 41

Multiple Choice

Determine whether the sequence defined by $a _ { n } = \frac { 5 ^ { n } } { 8 ^ { n } + 1 }$ converges or diverges. If it converges, find its limit.

• A) 1
• B) \(\frac { 5 } { 8 }\)
• C) 0
• D) Diverges

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Definitions:

Profit-maximizing

Refers to a firm's goal of achieving the highest possible profit given its production costs and market conditions.

Wage Rate

The amount of money paid to a worker per unit of time (e.g., hourly, daily) for their labor.

Profit-maximizing

This refers to strategies or decisions aimed at achieving the highest possible profit for a business or entity.

Marginal Product

The growth in output due to an extra unit of input.