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Strategy for Series
Now that we have got all of our tests out of the way it's time to think regarding to the organizing all of them into a general set of strategy to help us find out the convergence of a series.
Note: These are a common set of strategies and as some series can have much more than one test applied to them we will obtain a different result depending on the path that we take by this set of guidelines. Actually, because more than one test may apply, you should all time go completely through the guidelines and make out all possible tests that can be utilized on a given series. One time this has been done you can make out the test that you feel will be the easiest for you to utilize.
Comparison Test Assume that we have two types of series ∑a n and ∑b n with a n , b n ≥ 0 for all n and a n ≤ b n for all n. Then, A. If ∑b n is convergent then t
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