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Find All Values Of pp For Which the Series n=1ln(n9)np\sum _ { n = 1 } ^ { \infty } \frac { \ln \left( n ^ { 9 } \right) } { n ^ { p } }

question 52

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Find all values of pp for which the series n=1ln(n9) np\sum _ { n = 1 } ^ { \infty } \frac { \ln \left( n ^ { 9 } \right) } { n ^ { p } } converges.


Definitions:

Binomial Distribution

A probability distribution that encapsulates the chances of a variable adopting one of two distinct values across a specific number of observations.

Continuous Random Variables

Random variables that can assume an infinite number of outcomes in a continuous range.

Continuous Random Variable

A variable that can assume an infinite number of values within a specific range and is used in probability and statistics.

Homes Sold

The number of residential properties that have been sold over a specific period of time.

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