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Unformatted text preview: y = ln(cos x ) between x = 0 and x = / 4. 3 [5 points] Question 4. Determine whether the series X n =1 1 + 2 n 3 n converges, and if it converges, nd its sum. 4 [6 points] Question 5. Determine whether the series X n =2 1 n (ln n ) 3 / 2 converges or diverges. (Provide a reason.) 5 [6 points] Question 6. Determine whether the series X n =1 sin 1 n converges or diverges. (Provide a reason.) 6 If helpful, you may use any of these formulas in any of the test questions. sin 2 x = 1 2 1cos 2 x cos 2 x = 1 2 1 + cos 2 x Z 1 1 + x 2 dx = ? Z sec x dx = ln  sec x + tan x  + C 7...
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 Spring '08
 wang
 Math

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