Use the Limit Comparison Test (If Possible) to Determine Whether $$\sum _ { n = 1 } ^ { \infty } \frac { 2 } { \sqrt [ 9 ] { n ^ { 2 } + 9 } }$$

question 36

Multiple Choice

Use the Limit Comparison Test (if possible) to determine whether the series $$\sum _ { n = 1 } ^ { \infty } \frac { 2 } { \sqrt [ 9 ] { n ^ { 2 } + 9 } }$$

• A) diverges
• B) converges
• C) Limit Comparison Test does not apply

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Definitions:

Wilcoxon Signed Rank Test

A non-parametric statistical test used to compare two related samples, to assess whether their population mean ranks differ.

Nonparametric Method

Statistical methods that do not assume a specific distribution for the data, making them flexible in analyzing data without certain underlying assumptions.

Independent Samples

Two or more groups of data that do not influence each other and are randomly selected from a population.

Median Response Time

The middle value of response times arranged in order, such that half the responses are faster and half are slower.