求幂级数的收敛半径与收敛区域.[tex=4.0x1.5]Xdav2khU6mDVwWx3MkeDDjPfsDmz2505cx6KRPCh8Jk=[/tex],[tex=4.786x1.286]qY2WXCNTTtm52rrZdeYoxQ==[/tex].
举一反三
- 求下列幕级数的收敛半径与收敛域．[tex=5.643x2.714]ySadpvq7BrEZCGdcnD6+af/cnPy6ia97hD6rfpdbIi30RRCvZWX4IHwk0SrC9xQD[/tex]．
- 设幂级数[tex=3.643x3.286]WGu493lWbQkNjIXIJ06onV6IZmMDrYShNGcPME8shwWKH5T1GYVkFqbYkQtvxgXS[/tex]的收敛半径为[tex=1.143x1.214]WB5oUFU97imVoOqmwwnMtg==[/tex], 而[tex=3.5x3.429]UU1qstNjdmzg7TFKGbeGXsJXpXGu4k7SZ5Pl374mxwk=[/tex]的收敛半径为[tex=1.143x1.214]akFdfHl3PdcRxRUQleHWdA==[/tex].若把幂级数[tex=6.214x3.286]WGu493lWbQkNjIXIJ06oneLZcJFoQ3BGITMlybWara2JPRKknBTl8nFXbTZweoPu0vBt34L3pxIcH/n/A76GVQ==[/tex]的收敛半径记为[tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex], 证明:[tex=7.286x1.357]/Ormn0xncvBSYPuYSYE8Zf4KYeLykBmiGoKt1A6m2PKY9SnlqBOnZ0Or2B4jHlMy[/tex]
- 确定下列级数的收敛半径与收敛域：[tex=3.929x3.429]VCAPAvn3gOPyP36rvxBwz8VT0IIKEZ4u2ulloLRpEeSuQxzh8+Qq4nKearoHhkjf[/tex]
- 求[tex=4.143x3.286]3PXegz5bAQsuTODB0U8KrJ5fQhmJUpPU1AcRYR69zJ8DpBhRaGFWylGKFnz6qn9I[/tex]的收敛半径与收敛域.
- 设正项级数[tex=2.714x2.714]ySadpvq7BrEZCGdcnD6+aevQSiUapl3qI6D/1lvgJVQ=[/tex]收敛，则下列级数中，一定收敛的是[input=type:blank,size:6][/input] . 未知类型：{'options': ['[tex=5.286x2.714]ySadpvq7BrEZCGdcnD6+aUSs8NjqGM34Pj0L/aWjPf5nwpc8Gxc46klh+uULINYq[/tex][tex=4.786x1.286]0IqZGXsQumQ8HVtPWCATrtiJCBHUv8/DIKQIwjftTCI=[/tex]', '[tex=3.571x2.714]ySadpvq7BrEZCGdcnD6+aSrhkX13cc9+5wstZa/wdPBrtZqNaznOw9czyCs260T4[/tex]', '[tex=2.929x2.714]ySadpvq7BrEZCGdcnD6+aXdjt7olXa1sOQ/uQAnHb9YfMOOvt9w4M+ygFFPEXpM3[/tex]', '[tex=5.071x2.714]ySadpvq7BrEZCGdcnD6+aXJu218uJmjxWnvA5oEiEDTma8mLHGCbClj8X9wIEyr2[/tex]'], 'type': 102}