第十二章
无穷级数
常数项级数
常数项级数
:定义和概念:
无穷级数:
<Object: word/embeddings/oleObject1.bin>
部分和:
<Object: word/embeddings/oleObject2.bin>
正项级数:
<Object: word/embeddings/oleObject3.bin>
,<Object: word/embeddings/oleObject4.bin>
级数收敛:若
<Object: word/embeddings/oleObject5.bin>
存在,则称级数
<Object: word/embeddings/oleObject6.bin>
收敛,否则称级数
<Object: word/embeddings/oleObject7.bin>
发散性质:改变有限项不影响级数的收敛性;如级数收敛,各项同乘同一常数仍收敛
两个收敛级数的和差仍收敛
,级数<Object: word/embeddings/oleObject8.bin>
,<Object: word/embeddings/oleObject9.bin>
收敛,则 ...


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