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9-6 RATIO AND ROOT TESTS Miss Battaglia Objective: Test for convergence/ divergence using the ratio and root tests.

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Presentation on theme: "9-6 RATIO AND ROOT TESTS Miss Battaglia Objective: Test for convergence/ divergence using the ratio and root tests."— Presentation transcript:

1 9-6 RATIO AND ROOT TESTS Miss Battaglia Objective: Test for convergence/ divergence using the ratio and root tests.

2 Copyright © Houghton Mifflin Company. All rights reserved. 9-2 Theorem 9.17 Ratio Test PROOF: http://blogs.ubc.ca/infiniteseriesmodule/appendices/proof-of-the- ratio-test/proof-of-the-ratio-test/

3 Copyright © Houghton Mifflin Company. All rights reserved. 9-3 Theorem 9.18 Root Test PROOF: http://www.westga.edu/~faucette/teaching/Calculus/Chap10/RootTestProof.ht ml

4 Use the Ratio Test

5

6 Use the Root Test

7

8


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