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:

Keynesian View

An economic theory proposing that government intervention, through monetary and fiscal policy, can mitigate the adverse effects of recessions and depressions.

Balanced Budget

A financial statement demonstrating that revenues and expenditures are equal, leading to no deficit for the period.

Fiscal Policy

Government strategies for adjusting its spending levels and tax rates to influence a nation's economy.

Budget Deficits

A financial situation where a government's expenditures surpass its revenues within a specific period.