Find the positive values of p for which the series converges.

This series is the sum of an infinite geometrical progression with the common ratio of   It is well known that such a series converges if and only if its common ratio is less than by the absolute value.

In this problem we have the condition   or   Because we are asked about positive p's, we have  

The answer: for positive this series converges if...

This series is the sum of an infinite geometrical progression with the common ratio of   It is well known that such a series converges if and only if its common ratio is less than by the absolute value.

In this problem we have the condition   or   Because we are asked about positive p's, we have  

The answer: for positive this series converges if and only if