Table of Contents

What is the P series test?

**What test is used for convergence?**

The Geometric Series Testis the obvious test to use here, since this is a geometric series. The common ratio is (–1/3) and since this is between –1 and 1 the series will converge. The Alternating Series Test (the Leibniz Test) may be used as well.

__For which value of P does converge?__

A p-series converges for **p>1** and diverges for 0.

## What is a convergent p-series?

As with geometric series, a simple rule exists for determining whether a p-series is convergent or divergent. A p-series converges when p > 1 and diverges when p < 1. Here are a few important examples of p-series that are either convergent or divergent.

## What is the P rule?

The p-series rule tells you that this series converges. It can be shown that the sum converges to. But, unlike with the geometric series rule, the p-series rule only tells you whether or not a series converges, not what number it converges to.

## For which values of p does the series converge chegg?

The p-series M converges for p > 1, and diverges for ps 1. 0 O C.

## How do you find the values of p for which the series converges?

## For what value of p does the infinite series converge?

Therefore, the infinite series converges when p > 1, and diverges when p is in the interval (0,1).

## How do you test for eye convergence?

This test measures the distance from your eyes to where both eyes can focus without double vision. The examiner holds a small target, such as a printed card or penlight, in front of you and slowly moves it closer to you until either you have double vision or the examiner sees an eye drift outward.

## How do you test a sequence of convergence?

If limn→∞an lim n → ∞ exists and is finite we say that the sequence is convergent. If limn→∞an lim n → ∞ doesn't exist or is infinite we say the sequence diverges.