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研究所、轉學考(插大)-高等微積分
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104年 - 104 淡江大學 轉學考 高等微積分#55495
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4(10%) Test for convergence or divergence
其他申論題
(a) Show that an is monotone increasing (by induction).
#208996
(b) Show that an is bounded above by 2 (by induction).
#208997
(c) Find the limn→∞ an.
#208998
【已刪除】3(10%) is open or give a counterexample.
#208999
5(10%) Classify the following series into absolute convergence, conditional convergence or divergence. Explain why.
#209001
(a) Give the definition of uniform continuity of a function f defined on a set E .
#209002
(b) Give the definition of a set E being “compactness” in .
#209003
(c) Show that if f is continuous on a compact set E M, then f is uniformly continuous.
#209004
【已刪除】(a)
#209005
(a) Find fx(0,0) and fy,(0,0).
#209006
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