Find All Values of P for Which the Series $\sum _ { n = 1 } ^ { \infty } \frac { \ln \left( n ^ { 9 } \right) } { n ^ { y } }$

question 57

Multiple Choice

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

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

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Definitions:

Risk Tolerance

The degree of variability in investment returns that an investor is willing to withstand, related to one's financial situation, investment objectives, and psychological comfort.

Risky Asset

An asset that carries a significant degree of risk of losing value, but also offers a potential for higher returns compared to safer investments.

Risk-Free Asset

An asset which is assumed to provide a guaranteed return with negligible risk of financial loss, often considered to be short-term government securities.

Capital Allocation Line

A graph that shows the risk-return trade-off of investable assets, indicating the most efficient portfolio possible given a certain level of risk.