系别：_____________  年级：____________ 专业：____________________   姓名：_______________    学号：________________    

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菏泽学院  2012级

2012-2013学年第1学期

    （对的打“√”，  错的打“×”）

(    )1、数列单调减少且有下界，则数列必有极限；

(    )2、函数在某点处不可导，则曲线在相应点处没有切线；

(    )3、若在上连续，在内可导，则必存在，使；

(    )4、如果、分别是函数的极大值、极小值，则必有；

（把答案填在题前括号内）

(    )1、当时，下列变量是无穷小量的是（  ）                         

A．    B．   C．    D．

(    )2、（  ）                                      

A.  1      B.       C.  0       D.   

(    )3、若=，则方程的实根的个数为（ ）

 A．1个  　　 B. 2个      C.3个  　　 D.4个

（   ）4、设 则（ ）。                                                                               

A.      B.     C.     D.  。

 (    )5、设是的一个原函数，C为常数，则下列函数中仍是的原函数的是（  ）        

A．  B．  C．   D．

1、=              

2、设，则_______________。

3、曲线在点的切线方程为______________________。

4、曲线_____________________。

5、。

四、计算题（每小题7分，共42分）

1、求极限

2、求极限

3、设函数在内连续，求

4、设函数由方程确定，求

5、求不定积分

6、求不定积分

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系别：_____________  年级：____________ 专业：____________________   姓名：_______________    学号：________________    

························阅·······················卷························密························封························线·························

1、证明：方程至少有一个根介于和之间.

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