P Series
P Series
In this lesson, we will learn about pseries. They take on a special form, and look very similar to Harmonic series. However their convergence or divergence depends on the denominator's exponent, p. If p is greater than 1, then the series converge. If p is less than 1, then the series diverge. In this lesson, we will start off with looking at some simple pseries questions. Then we will look at a complicated pseries which convergences and divergences depending on a certain value.
Basic concepts:
 Introduction to infinite series
 Divergence of harmonic series
Lessons
Notes:
Note *P Series are in the form:
$\sum_{n=1}^{\infty}\frac{1}{n^p}$
where if $p$ > 1 then the series converge. Otherwise, the series diverges.

2.
Convergence and Divergence of P Series
Determine whether the series is convergent or divergent