所屬科目：研究所、轉學考(插大)-微積分
1. (10 %) Find the limit :
2. (10%) Let
3. (10%) Evaluate
4. (10 %) Solve the differential equation:
5. (12%)For , determine the interval of convergence and also find its sum.
8. (12%) Determine the values of a and b such that the ellipsecontains the circle (x-1)2 +y2 =1 and has least area .
9. (12%) EvaluatedA , where R is the trapezoid in the xy plane bounded by the lines x=0, y=x, x+y=1 and x+y=2.
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, determine the interval of convergence and also find its sum.
contains the circle (x-1)2 +y2 =1 and has least area .
dA , where R is the trapezoid in the xy plane bounded by the lines x=0, y=x, x+y=1 and x+y=2.