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* 1. (On Series) (a) (Positive) (Choose one problem for 25 point, the other worth 20.) n423 5n (1) (2) (n!) (2n + 7)4 (b)

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* 1. (On Series) (a) (Positive) (Choose one problem for 25 point, the other worth 20.) n423 5n (1) (2) (n!) (2n + 7)4 (b) (Alternating)(Choose one problem for 25 point, the other worth 20.) Determine whether the series converges absolutely, converges conditionally, or di- n=1 n=1 verges. (1) (-1)n-124ne n (2) (-1)n-1 vn n+1 n=1 n=1 (c) (Mixed)(Choose one problem for 25 point, the other worth 20.) Determine whether the series is convergent or divergent. sinn cos? n + ] sinn (1) (2) 7 2n n=1 n=0 * 1. (On Series) (a) (Positive) (Choose one problem for 25 point, the other worth 20.) n423 5n (1) (2) (n!) (2n + 7)4 (b) (Alternating)(Choose one problem for 25 point, the other worth 20.) Determine whether the series converges absolutely, converges conditionally, or di- n=1 n=1 verges. (1) (-1)n-124ne n (2) (-1)n-1 vn n+1 n=1 n=1 (c) (Mixed)(Choose one problem for 25 point, the other worth 20.) Determine whether the series is convergent or divergent. sinn cos? n + ] sinn (1) (2) 7 2n n=1 n=0

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