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111年 - 111 國立臺北大學_轉學生招生考試試題_經濟學系二年級:微積分#117728
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5.Write down the range of a, which makes the series
converge.__(5)__.
其他申論題
I. (50 points) Fill in the following blanks. 1. The value of is__(1)__.
#502992
2. lf g(x)=,then g'(x)=__(2)__.
#502993
3. The valuc of is__(3)__.
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4. lf =__(4)__.
#502995
6. lf is the Taylor polynomial of order 4 generated byat 0, then the constant in front of x4, c4=__(6)__.
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9. The domain of is__(9)__.
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10.lf f(x)=x+cosx,then (f-1)'(1)=__(10)__.
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II. (50 points) Fill in the following blanks.1. If the integral and c≥0,then the value of c equals __(1)__.
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2. The area of the region bounded by the curves x=1-y2 and x=y2-1 is__(2)__.
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3. The slope of the tangent line at the point (1, 1) on the graph ofequals__(3)__.
#503002