課程名稱︰微積分乙上
課程性質︰系必帶
課程教師︰王振男
開課學院:醫學院
開課系所︰醫學系
考試日期(年月日)︰2011/10/4
考試時限(分鐘):20分鐘
是否需發放獎勵金:是,謝謝
(如未明確表示,則不予發放)
試題:
1. (10%) Prove or disprove (find a counterexample) following statements:
(a)If f is continuous, then |f| is continuous.
(b)If f^2 is continuous, then f is continuous.
2. (10%) Let (sinx)^2 / x , x≠0,
f(x) = {
0 , x=0.
Find f'(0) if it exists.
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