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Chap11_Sec7

# 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.
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
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
If the series is of the form Σ 1/ n p it is a p -series.

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