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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 :
(b)
其他申論題
(b) f(x) = ln
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(a) (8%) Please sketch the graph of the pulse function.
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(b) (12%) Find the following limits:(i) limx→0Pa,b(x) (ii) limx→a+Pa,b(x) (iii) limx→a-Pa,b(x)
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(a)
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(c)
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(d)
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(e)
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2. Find the equation for the tangent line to the curve 2x3+2y3=9xy at the point (1,2).
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(a) Prove that f(x) is continuous at x=0.
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(b) Find the derivative of f(x).
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