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Chap11_Sec7 - 11 INFINITE SEQUENCES AND SERIES INFINITE...

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11 INFINITE SEQUENCES AND SERIES INFINITE SEQUENCES AND SERIES
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INFINITE SEQUENCES AND SERIES We now have several ways of testing a series for convergence or divergence. The problem is to decide which test to use on which series.
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INFINITE SEQUENCES AND SERIES In this respect, testing series is similar to integrating functions. Again, there are no hard and fast rules about which test to apply to a given series. However, you may find the following advice of some use.
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11.7 Strategy for Testing Series In this section, we will learn about: The ways of testing a series for convergence or divergence. INFINITE SEQUENCES AND SERIES
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It is not wise to apply a list of the tests in a specific order until one finally works. That would be a waste of time and effort. STRATEGY FOR TESTING SERIES
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Instead, as with integration, the main strategy is to classify the series according to its form . STRATEGY FOR TESTING SERIES
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If the series is of the form Σ 1/ n p it is a p -series.
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