What Is the Value of P That Marks the Boundary $\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { y } }$

question 304

Multiple Choice

What is the value of p that marks the boundary between convergence and divergence of the series $\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ( \ln n ) ^ { y } }$ ?

• A) \(\frac { 1 } { 2 }\)
• B) \(\frac { 1 } { 3 }\)
• C)Diverges for all p
• D)ln 2
• E)1
• F)ln 3
• G)Converges for all p
• H) \(\frac { 1 } { e }\)

---

Definitions:

High-Stakes Tests

Examinations that have significant consequences for the test taker, such as determining graduation eligibility or college admission.

Middle School

A school for children in the grades between elementary school and high school. Middle school usually begins with grade 6 and ends with grade 8.

International Test

Examinations administered globally to assess academic performance or proficiency in various fields across different nations.

Problem Solving

The process of identifying a problem, generating possible solutions, evaluating and selecting the best option, and implementing it, crucial in decision-making processes.