# P Series

##### Intros

##### Examples

###### Lessons

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###### Topic Notes

In this lesson, we will learn about p-series. 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 p-series questions. Then we will look at a complicated p-series which convergences and divergences depending on a certain value.

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.

$\sum_{n=1}^{\infty}\frac{1}{n^p}$

where if $p$ > 1 then the series converge. Otherwise, the series diverges.

###### Basic Concepts

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