How Do I Know Which Convergence Divergence Test to Use

- April 16, 2022

The integral test helps us determine a series convergence by comparing it to an improper integral which is something we already know how to find. If you do not know the time step size to set for your problem you can use the Auto Timescale option.

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Before proceeding with the test lets do a quick reminder of factorials.

. So what Limit Comparison Test tells us that if I have two infinite series so this is going from n equals k to infinity of a sub n Im not going to prove it here well just learn to apply it first. Recall that if a series is absolutely convergent then we will also know that its convergent and so we will often use it to simply determine the convergence of a series. So let me write that down Limit Limit Comparison Test Limit Comparison Test and Ill write it down a little bit formally but then well apply it to this infinite series right over here.

Learn how it works in this video. You can check the residence time either by having a look at the time on the streamlines or by dividing your volume by the volumetric flow rate. Section 4-9.

When we first talked about series convergence we briefly mentioned a stronger type of convergence but didnt do anything with it because we didnt have any tools at our disposal that we could use to work problems involving it.

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