Use the Integral Test to Decide Whether the Series $\sum_{n=1}^{\infty} \frac{(\ln n)^{3}}{n}$

question 26

Multiple Choice

Use the integral test to decide whether the series $\sum_{n=1}^{\infty} \frac{(\ln n) ^{3}}{n}$ converges or diverges.

• A)It converges
• B)It diverges

---

Definitions:

Fire

A rapid, persistent chemical change that releases heat and light and is typically initiated by ignition of combustible material.

Nitrogen

A chemical element with symbol N and atomic number 7, which is a critical component of all living cells, notably in proteins and nucleic acids.

Denitrification

A microbial process that converts nitrate in the soil to nitrogen gas, releasing it into the atmosphere and reducing soil fertility.

Nitrification

A microbiological process by which ammonia is oxidized to nitrate ions, an essential step in the nitrogen cycle.