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CALC II, MATH 141: EXERCISES, 04/ 14/ 44 Ratio test If limn too | an anti | = L 1, then series is diver- gent.

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CALC II, MATH 141: EXERCISES, 04/ 14/ 44 Ratio test If limn too | an anti | = L 1, then series is diver- gent. If L = 1, then the ratio test is inconclusive. Root test If limn-+co (lan[)1 = L 1, then the series is divergent. If L = 1, then the root test is inconclusive. 1) Find the radius and interval of convergence of the power series (2+ 2 ) " n=1 2" In(n) 2) Find a power series representation for the function x- 1 x + 10 Find the radius and interval of convergence of that power series

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