Use the Integral Test to Show That the Series $\sum _ { k = 2 } ^ { \infty } \frac { 1 } { k ( \ln k ) ^ { y } }$

question 17

Essay

Use the integral test to show that the series $\sum _ { k = 2 } ^ { \infty } \frac { 1 } { k ( \ln k ) ^ { y } }$ converges if $p > 1$ and diverges if $p \leq 1$ .Hint: Consider the two cases $p = 1$ and $p \neq 1$ .

---

Definitions:

Monetary Bonuses

Financial rewards granted to employees for achieving specific performance targets or as recognition for exceptional work.

Fiscal Year

A Fiscal Year is a 12-month period used for accounting purposes and preparing financial statements, which may not align with the calendar year and varies between organizations and governments.

Financial Success

The achievement of financial goals and objectives, often measured by profitability, revenue growth, or market share expansion.

HR Department

The division within an organization that is focused on recruitment, management, and direction for the people who work in the organization.