Use the Limit Comparison Test to Determine the Convergence or Divergence

question 49

Multiple Choice

Use the Limit Comparison Test to determine the convergence or divergence of the series $\sum _ { n = 1 } ^ { \infty } \frac { 9 } { n \sqrt { n ^ { 2 } + 6 } }$ .

• A) The series \(\sum _ { n = 1 } ^ { \infty } \frac { 9 } { n \sqrt { n ^ { 2 } + 6 } }\) diverges.
• B) The series \(\sum _ { n = 1 } ^ { \infty } \frac { 9 } { n \sqrt { n ^ { 2 } + 6 } }\) converges.

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Definitions:

Production Cycle

The entire process of producing goods, from the acquisition of raw materials to the final product, within a company.

Cash Collection

The process of receiving and managing payments from customers or clients for goods or services provided.

Common-Size Balance Sheet

A balance sheet that displays each line item as a percentage of total assets, facilitating comparison with other companies regardless of size.

Percentage of Net Assets

This refers to a metric that calculates what portion of a company’s total net assets is represented by a particular investment or asset class.