若=0，则级数收敛。（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/90e12c5dfe3a4c59ad61a94245c94f08.png
将=展开为（的幂级数，并指出收敛范围 ( )。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/fd6586b3576f490385cbac9dfd8a1dca.png
已知幂级数在处发散，则时，幂级数( )。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/5754dc1be0d14442a3a1aab9a8d11025.png
已知幂级数在处收敛，则时，幂级数绝对收敛。（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/75f888305cee4551b37bf60fcef978b1.png
已知幂级数在处收敛，则时，幂级数一定收敛。（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/be98218ea9234292a97cab946c428bb8.png
幂级数x+2x2+3x3+…在区间(-1,1)上收敛。
将=展开为的幂级数是 ( )。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/45dc2024e4114500af5a53b352b0b570.png
幂级数的收敛半径是( )。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/e11b8e6f66f443ccb70201f41eab646b.png
已知级数 收敛，则 =0。（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/a703457bd1c5493097ee263ea5e75e60.png
已知幂级数在处收敛，则级数( )。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/a4c3c734a0fb4f629ac8dce23b72e9ad.png
已知幂级数在处收敛，则时，幂级数一定收敛。（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/be98218ea9234292a97cab946c428bb8.png
设幂级数在x=3出收敛，则该级数在x=-4处必定发散。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201812/009ef8165c004bb4ab3cf8577afa67ed.png
迭代法收敛于，此迭代序列是_____阶收敛的.http://image.zhihuishu.com/zhs/onlineexam/ueditor/201808/ac07db49b09d4bb083c980bfd239717c.png
若=∞，则级数收敛于。（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/32fb85dd066a437a87922b798361205f.png
幂级数的收敛半径是2。（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/caf8199550ba4ba5abbf7d26c7f6ade9.png
已知幂级数在处收敛，则时，幂级数( )。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/a233fc9c2f0c4a0282582e78b2f7f4b9.png
已知幂级数 在 处收敛，则 时，幂级数 绝对收敛。（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/75f888305cee4551b37bf60fcef978b1.png
若正项级数 收敛，则级数 ( )。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/678ff26f1a0b4c6f9c771800da131fa2.png
设，则收敛半径R=（)，故幂级数在（)绝对收敛，在（)一致收敛。
级数=（).A.发散B.收敛于-aC.收敛于1D.收敛于1-a
当|x|＜1时，幂级数1＋x＋x^2＋…＋x^n＋…收敛于（）
若级数收敛于S，则级数收敛于______
证明:级数在[0,1]上绝对并一致收敛,但由其各项绝对值组成的级数在[0,1]上却不一致收敛.
将函数f（x)=x（x-π)展开成以2π为周期的傅里叶级数,并回答:（I)级数在点x=±π和x=2π分别收敛于何值
