(如未明確表示,則不予發放)
試題 :
The total is 25 points.
(1) (6 pts) For any two irrational numbers a<b. Show that there are infinitely
many rational numbers between a and b.
(2) (7 pts)Prove that
3 ___ 3 _
lim (√n+1-√n) = 0
n->oo
(3) (12 pts)If f(x) and g(x) are continuous at x=x0 and g(x0)!=0, then
f(x)/g(x) is continuous at x=x0.
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◆ From: 140.112.196.111
※ 編輯: xavier13540 來自: 140.112.196.111 (11/12 23:18)
※ 編輯: xavier13540 來自: 140.112.196.111 (11/13 00:00)
※ 編輯: xavier13540 來自: 140.112.196.111 (11/13 00:01)
課程名稱︰微積分甲上
課程性質︰數學系大一必帶
課程教師︰陳榮凱
開課學院:理學院
開課系所︰數學系
考試日期(年月日)︰2013/09/26
考試時限(分鐘):30
是否需發放獎勵金:是