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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
8. (10%)
(a) Find f
x
(0,0) and f
y
,(0,0).
其他申論題
(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
【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
(b)
#209011
【已刪除】(c)
#209012