下列命题中,哪个是正确的? A.周期函数f(x)的傅立叶级数收敛于f (x) B.若f(x)有任意阶导数,则f(x)的泰勒级数收敛于f(x) D...

作者: tihaiku 人气: - 评论: 0
问题 下列命题中,哪个是正确的? A.周期函数f(x)的傅立叶级数收敛于f (x) B.若f(x)有任意阶导数,则f(x)的泰勒级数收敛于f(x) D.正项级数收敛的充分且“条件是级数的部分和数列有界
选项
答案 D
解析 提示:本题先从熟悉的结论着手考虑,逐一分析每一个结论。选项D是正项级数的基本定理,因而正确,其余选项均错误。选项A,只在函数的连续点处级数收敛于f(x);选项B,级

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