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1、精品资料欢迎下载多元函数的极限与连续习题1.用极限定义证明:14)23(lim12yxyx。2.讨论下列函数在（0,0）处的两个累次极限，并讨论在该点处的二重极限的存在性。（1）yxyxyxf),(；(2)yxyxyxf1si n1si n)(),(；(3)yxyxyxf233),(；(4)xyyxf1si n),(。3.求极限（1）220)(lim220yxxyxy；（2）11lim222200yxyxyx；（3）22001sin)(limyxyxyx；（4）222200)sin(limyxyxyx。4.试证明函数00)1ln(),(xyxxxyyxf在其定义域上是连续的。-第 1 页，共
2、7 页精品p d f 资料 可编辑资料-精品资料欢迎下载1.用极限定义证明:14)23(lim212yxyx。因为1,2yx，不妨设0|1|,0|2|yx，有54|2|42|2|xxx，|22123|1423|22yxyx|1|2|2|15|1|2|2|2|3yxyxx|1|2|15yx0，要使不等式|1|2|15|1423|2yxyx成立取 1,30min，于是0，0 1,30min，),(yx：|1|,|2|yx且)1,2(),(yx，有|1423|2yx，即证。2.讨论下列函数在（0,0）处的两个累次极限，并讨论在该点处的二重极限的存在性。（1）yxyxyxf),(；1limlim00y
3、xyxyx，1l i mli m00yxyxxy，二重极限不存在。或0l i m0yxyxxyx，31l i m20yxyxxyx。-第 2 页，共 7 页精品p d f 资料 可编辑资料-文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:
4、CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T
5、7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:
6、CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T
7、7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:
8、CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T
9、7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3精品资料欢迎下载(2)yxyxyxf1sin1sin)(),(；|1sin1sin)(|0yxyxyx可以证明0|)|(|lim00yxyx所以0),(lim00yxfy
10、x。当kx1，0y时，yxyxyxf1sin1sin)(),(极限不存在，因此yxyxyx1si n1si n)(limlim00不存在，同理yxyxxy1si n1si n)(limlim00不存在。(3)yxyxyxf233),(；02lim),(lim2300 xxxyxfxxyx，当 P(x,y)沿着32xxy趋于（0,0）时有1)(lim),(lim23232330320 xxxxxxyxfxxxyx，所以),(lim00yxfyx不存在；0),(limlim00yxfyx，0),(limlim00yxfxy。-第 3 页，共 7 页精品p d f 资料 可编辑资料-文档编码:CU5
11、O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9
12、 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5
13、O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9
14、 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5
15、O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9
16、 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5
17、O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3精品资料欢迎下载(4)xyyxf1sin),(|1sin|0yxy0),(lim00yxfyx，01s i nlimlim00 xyyx，xyxy1s i nl i ml i m00不存在。3.求极限（1）220)(lim220yxxyxy；|)ln(|4)(|)ln(|0222222222yxyxyxyx，又0ln4lim)ln(4)(lim202222200ttyxyx
18、tyx，1)(lim)22ln(22)0,0(),(lim222200yxyxyxyxyxeyx。（2）11lim222200yxyxyx；211)11)(lim11lim22222200222200yxyxyxyxyxyxyx。-第 4 页，共 7 页精品p d f 资料 可编辑资料-文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9
19、M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3
20、 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9
21、M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3
22、 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9
23、M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3
24、 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3精品资料欢迎下载（3）22001sin)(limyxyxyx；|1sin
25、)(|22yxyxyx，而0)(l i m00yxyx故01si n)(lim2200yxyxyx。（4）222200)sin(limyxyxyx。令cosrx，sinry，)0,0(),(yx时，0r，1sinlim)sin(lim220222200rryxyxryx。-第 5 页，共 7 页精品p d f 资料 可编辑资料-文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z
26、3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U
27、9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z
28、3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U
29、9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z
30、3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U
31、9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3精品资料欢迎下载4.试证明函数
32、00)1ln(),(xyxxxyyxf在其定义域上是连续的。证明：显然 f(x,y)的定义域是 xy-1.当0 x时，f(x,y)是连续的，只需证明其作为二元函数在y轴的每一点上连续。以下分两种情况讨论。（1）在原点（0,0）处f(0,0)=0,当0 x时0)1ln(00)1ln(),(1yxyyyxxyyxfxy,由于1)1l n(lim100 xyyxxy不妨设1|1)1l n(|1xyxy，2|)1l n(|1xyxy，从而0，取2，当|0,|0yx时，|)1ln(|0)1ln(|1xyxyyxxy|2|)1ln(|1yxyyxy，于是，无论0,0 xx，当|,|yx时，都有)0,0(0
33、),(lim00fyxfyx（2）在),0(y处。（)0y当0 x时，|)1ln(|),0(),(|1yxyyyfyxfxy|)()1)1(l n(|1yyxyyxy|1)1ln(|1yyxyyxy-第 6 页，共 7 页精品p d f 资料 可编辑资料-文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5
34、U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5
35、H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5
36、U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5
37、H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5
38、U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5
39、H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3精品资料欢迎下载当 x=0时,|),0(),(|yyyfyxf,注意到，当0y时1)1l n(lim10
40、 xyyyxxy，于是，无论0,0 xx，当0y时0|),0(),(|lim0yfyxfyyx，即 f(x,y)在在),0(y处连续，综上，f(x,y)在其定义域上连续。-第 7 页，共 7 页精品p d f 资料 可编辑资料-文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7
41、C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:C
42、U5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7
43、C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:C
44、U5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7
45、C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3文档编码:CU5O7X5U4Z3 HP5J1X5T7C9 ZV5H4U9M7Q3