Find All Values Of $p$ For Which the Series $\sum _ { n = 1 } ^ { \infty } \frac { \ln \left( n ^ { 9 } \right) } { n ^ { p } }$

question 35

Multiple Choice

Find all values of $p$ for which the series $\sum _ { n = 1 } ^ { \infty } \frac { \ln \left( n ^ { 9 } \right) } { n ^ { p } }$ converges.

• A) \(p < 9\)
• B) \(p < 1\)
• C) \(p > 9\)
• D) \(p > 1\)

---

Definitions:

Inheritance

The process by which property, titles, debts, rights, and obligations are transferred from the deceased to their legal heirs or beneficiaries.

Religious Toleration

The recognition of and respect for individuals' rights to hold and practice differing religious beliefs, often seen as a foundational principle for pluralistic and democratic societies.

New Netherland

A 17th-century colonial province of the Dutch Republic that comprised parts of present-day New York, New Jersey, Delaware, and Connecticut.

Economic Growth

An increase in the production of goods and services in an economy over a period of time, often measured by GDP.