課程名稱︰微積分甲下(暑修)
課程性質︰
課程教師︰周青松
開課學院：
開課系所︰
考試日期（年月日）︰100/8/18
考試時限（分鐘）：60分
是否需發放獎勵金：是~謝謝
（如未明確表示，則不予發放）
試題 :
It's necessary to explain all the reason in detail and show all of your work
on the answer sheet. Or you will NOT get any credits. If you used any
theorems in textbook or proved in class, state it catefully and ecplicitly.
Find the following limits.
A. (20%) lim (e^x + 3x)^1/x
x→0
B. (20%) lim (√n -1)^1/√n
n→∞
Determine whether the improper integral exists or not. If is exists, find the
value.
a ＿＿＿＿
C. (20%) ∫ dx/√a^2 -x^2
0
∞
D. (20%) ∫ dx/e^x +e^x
-∞
4
E. (20%) ∫ dx/x^2-5x+6
1
--------------------------------
e^4
1
□
π/2
does not exists
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◆ From: 140.112.7.214
※ 編輯: SWW 來自: 140.112.7.214 (08/24 15:44)