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99年 - 99 國立臺南大學_轉學生招生考試試題_應用數學系二年級:微積分#124193
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題組內容
1. Find the following limit and integrals :
(d)
其他申論題
(b) (12%) Find the following limits:(i) limx→0Pa,b(x) (ii) limx→a+Pa,b(x) (iii) limx→a-Pa,b(x)
#527877
(a)
#527878
(b)
#527879
(c)
#527880
(e)
#527882
2. Find the equation for the tangent line to the curve 2x3+2y3=9xy at the point (1,2).
#527883
(a) Prove that f(x) is continuous at x=0.
#527884
(b) Find the derivative of f(x).
#527885
(c) Is f'(x) continuous at x=0? Why?
#527886
(a) Find the interval of convergence.
#527887