Which One of the Following Series Diverges?
A) $\sum _ { n = 1 } ^ { \infty } \frac { n } { e ^ { n } }$

question 226

Multiple Choice

Which one of the following series diverges?

• A) \(\sum _ { n = 1 } ^ { \infty } \frac { n } { e ^ { n } }\)
• B) \(\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 2 } { 3 } \right) ^ { n }\)
• C) \(\sum _ { n = 1 } ^ { \infty } \frac { n + n ^ { 3 } } { n ^ { 4 } }\)
• D)\(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { 2 } }\)
• E)None of these

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Definitions:

Predetermined Overhead Rate

A projected rate applied for distributing manufacturing overhead expenses across specific products or job orders.

Machine-Hours

A measure of the total time that manufacturing equipment is operating during a specific period, often used as a basis for allocating manufacturing overhead.

Unused Capacity

The available production or service capacity that is not being used, often considered when planning production schedules and resource allocation.

Period Expense

Expenses that are not directly tied to the production process and are charged to the periods in which they are incurred.