Nth root test - PowerPoint PPT Presentation

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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Testing Convergence (and Divergence)

Testing Convergence (and Divergence). A few major methods…. Integral Test: p-test Comparison Test Ratio Test Nth Root Test. …go to Maple worksheet. Integral Test. Applies to monotonic, positive, decreasing functions: Series converges if the integral does!. See 12.3 pg 765-66: #23, 24.

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