知幂级数的收敛半径R=1,则幂级数的收敛域为()。
幂级数的收敛半径为2,则幂级数的收敛区间是()
若=0,则级数收敛。( )http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/90e12c5dfe3a4c59ad61a94245c94f08.png
设幂级数和的收敛半径分别为,则和级数=+的收敛半径.
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
幂级数在 上收敛于。 ( )http://image.zhihuishu.com/zhs/onlineexam/ueditor/201803/4b41e2410f464a61b9b06ce0712d93b0.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
幂级数,其收敛半径( ),收敛域( )/ananas/latex/p/250914
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
设幂级数的收敛半径为R,而的收敛半径为R,若把幂级数的收敛半径记为R,证明:(1);(2)当R<sub>1</sub>≠R<sub>
设,则收敛半径R=(),故幂级数在()绝对收敛,在()一致收敛。
将幂级数(3.2. 1)逐项积分,求所得级数的收敛半径,以此验证逐项积分不改变收敛半径,
若,则幂级数的收敛半径是()。
对幂级数,记,则那么,此幂级数的收敛半径是还是6?
确定幂级数的收敛半径和收敛域.