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100年 - 100 國立中興大學_轉學考招生試題：A組聯招群：微積分#110064
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3. The Maclaurin's series for
is ________
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#471516
1. By the limit definition, _______
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2. The mathematical constant e = 2.71828... is sometimes called Euler's number, and can be defined as a limit of _______
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4. In the Composite Limit Theorem, , the least required sufficient conditions are that _______
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5. The integral In x dx =_______
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6. The integralx =______
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7.=_______
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8. The temperature on the surface of a metal plate is T(x, y) =. The direction of the greatest increase in heat from point (3, 4) is_______； The rate of increase in the direction from point (3, 4) to point (6, 8) is _______.
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9. If a curve is given by , where 0≤ t ≤4π and b is a constant, the length of the curve is ________
#471525
is ________
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is ________