Use the Comparison Test to Determine If the Series Converges $$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } \ln n - 3 }$$

question 209

Multiple Choice

Use the Comparison Test to determine if the series converges or diverges.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } \ln n - 3 }$$

• A) diverges
• B) converges

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Definitions:

Percentiles

Statistical measures indicating the value below which a given percentage of observations in a group of observations falls.

Interquartile Range

A measure of variability, defined as the difference between the first and third quartiles, describing the middle 50% of a data set.

25th Percentile

A value below which 25% of the data falls.

75th Percentile

A value below which 75% of the data points in a dataset fall, used as a measure of dispersion.