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ln(1000k) + 21k 1. (a) Asymptotically simplify the expression oh 2 001k! + 20k 00 (b) Use the result in (a) and the ratio test

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ln(1000k) + 21k 1. (a) Asymptotically simplify the expression oh 2 001k! + 20k 00 (b) Use the result in (a) and the ratio test to determine Whether the series 2 ak converges or diverges. 19:1 52:1 for part (b). That is, use Note: if you are not sure how to do part (a), you can use oh 2 k 52k+1 00 the ratio test to determine Whether the series 2 converges or diverges. k=1

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