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研究所、轉學考(插大)-微積分
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94年 - 94 國立中興大學_理學院科系(聯招)轉學考:微積分#112194
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3.
=__(D)__
其他申論題
3. Goods I and 2 are available at prices (in dollars) of p1 per unit of good 1 and p2 per unit of good 2. A utility function U(x1, x2) is a function representing the utility or beneit fo consuming xj, units of good j. The marginal utility of the jth good is , the rate of increase in utility per unit increase in the jth good. Prove the following law of economics: Given a budget of L dollars, utility is maximized at the consumption level (a,b) where the ratio of marginal utility is equal to the ratio of prices:
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b. Show that if an converges,then converges. (6 points)
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1.The upper sum = __(A)__. and the lower sum = __(B)__ if f(x) := |x|,x ∈ [-2,1] and P is the partition of [-2,1].
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2.=__(C)__
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4.=__(E)__ for x> 0.
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5.The radius of convergence of the power series =__(F)__
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6.The Maclaurin serics for sin(x + 1) =__(G)__
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7.=__(H)__
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(a) If f(x) :=x3 - 2x + 2, x ∈ , then f has a zero between -2 and 0.
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(b) Consider two series. Suppose ≥ 0 and . If converges, then converges.
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