第一章 单元测试

1、单选题:
( )。
选项:
A:
B:does not exist
C:0
D:
答案: 【does not exist

2、单选题:
Suppose that exists and does not exist, then ( ).
选项:
A: possibly exists but does not exist
B: does not exist but possibly exists
C:both and exist
D:neither nor exists
答案: 【 does not exist but possibly exists

3、单选题:
Let Then ( ).
选项:
A: is continuous at but is discontinuous at
B:both and are continuous at
C:neither nor is continuous at
D: is continuous at but is discontinuous at
答案: 【 is continuous at but is discontinuous at

4、单选题:
Then ( ).
选项:
A:
B:
C:
D:
答案: 【

5、单选题:
( )。
选项:
A:0
B:does not exist
C:1
D:
答案: 【1

第二章 单元测试

1、单选题:
Suppose that is differentiable at . Then is ( ) for the differentiability of at .
选项:
A:a sufficient but not a necessary condition
B:none of the above
C:a necessary and sufficient condition
D:a necessary but not a sufficient condition
答案: 【a necessary and sufficient condition

2、单选题:
If , then =( )。
选项:
A:-2
B:2
C:-6
D:6
答案: 【6

3、单选题:
Let . We have , and . Then ( )。
选项:
A:0
B:1
C:3
D:does not exist
答案: 【0

4、单选题:
Suppose that is determined implicitly by . Then =( )。
选项:
A:
B:
C:
D:
答案: 【

5、单选题:
Let and be some positive integer which is less then , then( )。
选项:
A:
B:
C:
D:
答案: 【

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