Use the Integral Test to Determine the Convergence or Divergence $$\sum _ { n = 2 } ^ { \infty } \frac { 10 } { n \sqrt { \ln n } }$$

question 165

Multiple Choice

Use the Integral Test to determine the convergence or divergence of the series. $$\sum _ { n = 2 } ^ { \infty } \frac { 10 } { n \sqrt { \ln n } }$$

• A) diverges
• B) converges
• C) Integral Test inconclusive

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Definitions:

Oxygen

A diatomic molecule that is a colorless, tasteless, and odorless gas essential for respiration in most living organisms.

Hydrogen

The lightest and most abundant chemical element in the universe, with the symbol H and atomic number 1, primarily found as H2 gas.

Isomers

Molecules that have the same molecular formula but differ in the arrangement of atoms, resulting in different properties.

Molecular Formula

A representation of the number and type of atoms in a molecule but not the structure.