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中原大學九十三學年度碩士班入學招生考試
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| 93年3月26日 16:00~17:30 企業管理學系乙組 | 誠實是我們珍視的美德， 我們喜愛「拒絕作弊，堅守正直」的你！ |
| 科目：微積分 |
| Please answer each problem in detail. | ||
| 1. | It is known that  ,
compute  .
(8%) |
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| 2. | Judge the convergence and divergence of individual series in (a), (b), (c) and (d):(32%，每題8分) | |
| (a) |  |
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| (b) |  |
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| (c) |  |
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| (d) |  |
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| 3. | Compute the integrals in (a), (b), (c) and (d): (32%，每題8分) (Note: (c) is the double integral, and (d) is the line integral.) |
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| (a) |  |
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| (b) |  |
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| (c) |  |
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| (d) |  ,
where C is a line segment from (0,0,0) to (1,1,1). |
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| 4. | Compute the limits in (a) and (b): (20%，每題10分) | |
| (a) |  |
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| (b) |  |
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| 5. | Compute  ,
where R is a region surrounded by x + y = 0, x + y = 1, x y = 0, and x -
y = 2. (8%) |
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