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Verify that the infinite series converges. 10 . (0.9) = 1+0.9 +0.81 +0.729 +... n= 0 Find the sum of the convergent series. 11. E

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Verify that the infinite series converges. 10 . (0.9)" = 1+0.9 +0.81 +0.729 +... n= 0 Find the sum of the convergent series. 11. E ()" 12. n =0 n= 1 13 . [ ( - 3 ) " 14. 1 + 0.1 + 0.01 + 0.001 + ... 15. _ (sin 1)" 16. (0.7)" n = 2 Write the repeating decimal as a geometric series and write its sum as the ratio of two integers. 17. 0.4 18. 0.81

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