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Why does the ratio test work - vvv

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Active 6 years, 5 months ago. Viewed 6k times. Could anybody help? Thank you! Add a comment. Active Oldest Votes. Chris Eagle Chris Eagle Joel Joel Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown.

Featured on Meta. Now live: A fully responsive profile. Linked 3. Related 0. Again, the ratio test tells us nothing here. We can however, quickly use the divergence test on this. In fact that probably should have been our first choice on this one anyway.

There is one more thing that we should note about the ratio test before we move onto the next section. This will always happen with rational expression involving only polynomials or polynomials under radicals. Just why is this important? Well we can now look at the following series. Recalling that,. This in turn means that,. To do this we just need a series for each case. Notes Quick Nav Download. You appear to be on a device with a "narrow" screen width i.

Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device should be able to scroll to see them and some of the menu items will be cut off due to the narrow screen width. Example 1 Determine if the following series is convergent or divergent. Example 2 Determine if the following series is convergent or divergent.

Example 3 Determine if the following series is convergent or divergent.


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