# How to tell if a sequence converges or diverges

Determine whether a sequence converges or diverges, and if it converges, to what value. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make ## Comparing Converging and Diverging Sequences

However, use a different test to determine the convergence or divergence of a series. Example 1: Using the Test for Divergence. Show that the series ∑ n = 1 ∞ [n 2] / [5n 2 +4] diverges. Solution 1. The divergence test asks

## Determining convergence (or divergence) of a sequence

In this video I will show you how to determine if a sequence converges or diverge and the example is n*sin (1/n). I hope this helps. If you enjoyed this video please consider liking, sharing,

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Recurring customers   ## Convergence and Divergence of Sequences

Take the limit and apply L'Hôpital's rule: lim n → ∞ | a n | = lim n → ∞ n n 2 + 1 = L'H lim n → ∞ 1 / 2 n − 1 / 2 2 n = lim n → ∞ 1 4 n 3 / 2 = 0. Then, we know that | a n | converges a n converges
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## Determining if a sequence converges

We do, however, always need to remind ourselves that we really do have a limit there! If the sequence of partial sums is a convergent sequence ( i.e. its limit exists and is

Explain math equation

One plus one is two.

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## How does one tell if a sequence converges or diverges?

How can we tell if the sequence $a_n=n\cos (n\pi)$ converges or diverges? For any integer, positive, negative or zero: $\cos { (n\pi)}= (-1)^n$ So [math]a_n = n (-1)^n =