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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
3. Let
(a) Prove that f(x) is continuous at x=0.
其他申論題
(c)
#527880
(d)
#527881
(e)
#527882
2. Find the equation for the tangent line to the curve 2x3+2y3=9xy at the point (1,2).
#527883
(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
(b) For what values of x does the series converge absolutely.
#527888
(c) For what values of x does the series converge conditionally.
#527889
5. A rectangular box without a top is to have a volume of 12 cubic feet. Find the dimensions of the box that will have minimum surface area.
#527890
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