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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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題組內容
6(20%)
(c) Show that if f is continuous on a compact set E
M, then f is uniformly continuous.
其他申論題
4(10%) Test for convergence or divergence
#209000
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
【已刪除】(a)
#209005
(a) Find fx(0,0) and fy,(0,0).
#209006
【已刪除】(b) Find the partial derivative of / at (0,0) with respect to any vector =(a,b) is
#209007
(c) Show that / is not differentiable at (0,0).
#209008
【已刪除】(a) Find the limit function f{x).
#209009
【已刪除】(b) Does fn(x) converge to f{x) uniformly? Explain why.
#209010
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M, then f is uniformly continuous.