'Root test' presentation slideshows

INFINITE SEQUENCES AND SERIES

11. INFINITE SEQUENCES AND SERIES. INFINITE SEQUENCES AND SERIES. 11.6 Absolute Convergence and the Ratio and Root tests. In this section, we will learn about: Absolute convergence of a series and tests to determine it. ABSOLUTE CONVERGENCE.

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Chapter 9-H Strategies for Testing series

Chapter 9-H Strategies for Testing series . Strategies. C lassify the series to determine which test to use. 1. If then the series diverges . This is the nth Term Test for divergence.

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Integral test

Integral test. Let { a n } be a sequence of positive terms and f ( x ) be a continuous function such that f ( n ) = a n for all n > 0, and f ( x ) is decreasing on [0, ? ) f ( x ) ? 0 as n ? ? , then . 1 2 3 4 5 6 7 8 9.

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The ratio and root test

The ratio and root test. 1. There is a positive number R such that the series diverges for but converges for. The series converges for every x . ( ). 2. 3. The series converges for at and diverges everywhere else. ( ).

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chapter 2 - Hello World Model

chapter 2 - Hello World Model. chenbo2008@ustc.edu.cn ????????????. Definition ? Device drivers take on a special role in the Linux kernel.

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Chapter 9.6

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Ratio and Root Tests

Ratio and Root Tests. Thm . Ratio Test Let ? a n be a series with nonzero terms. If , the series is abs. convergent. If , the series is divergent. If , then the test fails. Ex. Ex. Thm . Root Test Let ? a n be a series.

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