242hw7 - n 2 n 4 ∞ X n =1 n e n 5 ∞ X n =2 1 n(ln n 2 6...

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Math 242 Homework 7 Sections 012 and 014: Due MONDAY April 11th Section 050: Due Tuesday April 12th In questions 1 through 8, determine whether the series converges or diverges. (Give reasons.) 1. X n =1 1 2 n 2. X n =1 ln ± n 2 + 1 2 n 2 + 1 ² 3. X n =1 1 + 3
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Unformatted text preview: n 2 n 4. ∞ X n =1 n e n 5. ∞ X n =2 1 n (ln n ) 2 6. ∞ X n =1 ln n n 7. ∞ X n =1 (-1) n ln n n 8. ∞ X n =1 ln n n 3 9. Evaluate the integral Z 1 sin x cos x dx . (This may be “tricky”.) 1...
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