M408D Exam 2 c(2) - Last Exam Do the following series...

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Unformatted text preview: Last Exam Do the following series converge? Diverge? Why? Show all work. k 1) k2 + k=1 ∞ ∞ 1 k 2) k=1 k2 + 1 3k ∞ 3) k=2 1 k 2 ln k ∞ ∞ 4) k=1 1 k2 + k − 1 1 √ 5) k=1 ∞ k! k 2k k (ln k )k ∞ 6) k=1 2k k ∞ 1 7) k=1 8) k=1 kk ∞ 9) k=1 k 3 2k (k + 1)! ∞ 10) k=1 1 k + ln k ...
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