Use the Nth-Term Test for Divergence to Show That the Series

question 105

Multiple Choice

Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive.
- $$\sum _ { n = 1 } ^ { \infty } \cos \frac { 8 } { n }$$

• A) converges, 1
• B) converges, 8
• C) diverges
• D) inconclusive

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Definitions:

Total Product

Total product is the overall quantity of output that a firm produces, usually within a specified period, based on variable inputs.

Marginal Product

Marginal product refers to the additional output that is produced by employing one more unit of a particular input, holding other inputs constant.

Average Product

The output produced per unit of input, calculated by dividing total product by the quantity of input.

Marginal Product

Represents the additional output that can be produced by adding one more unit of a specific input, keeping all other inputs constant.