課程名稱︰微積分乙上
課程性質︰必修
課程教師︰張志中
開課學院：
開課系所︰牙醫系 藥學系 醫技系 物治系 職治系 農化系 公衛系
考試日期（年月日）︰2018/10/11
考試時限（分鐘）：50
是否需發放獎勵金：是
試題 :
1. (20 points) Evaluate the following limits.
(a) lim x^5((cos(1/x^3))-1)
x→-∞
(b) cos(1/√θ)
lim ——————
θ→4/π^2 θ-4/π^2
2. (20 points) It is known that the slope of the graph y=sin(πxy)
at the point (1/3,1/2) can be expressed as a/(12-b) for some
real numbers a, b ∈ R. Find a and b.
3. (20 points) Find the values of dy/dx and d^y/dx^2 of the curve
y^3-3y = x^2-3 at the point (1,-2).