課程名稱︰微積分甲下
課程性質︰系內必帶
課程教師︰陳宏
開課學院：工學院
開課系所︰土木工程學系
考試日期（年月日）︰2010/3/16
考試時限（分鐘）：30min
是否需發放獎勵金：是，謝謝
（如未明確表示，則不予發放）
試題 :
Note that there are two sides to this quiz.
You need to give sufficient reasons for your answers to receive credit.
1.(4 points) Test the following series for convergence or divergence
∞ n^2
Σ---------
n=1 e^(n^3)
2.(8 points) Find the interval of convergence for the following series:
∞ n^2
Σ-----(x+1)^n
n=1 4
3.(8 points) Find a powers representation for x^3/(x+2)
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