求证:1-1/2+1/3-1/4+……+1/(2n-1)-1/2n

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求证:1-1/2+1/3-1/4+……+1/(2n-1)-1/2n求证:1-1/2+1/3-1/4+……+1/(2n-1)-1/2n求证:1-1/2+1/3-1/4+……+1/(2n-1)-1/2n运

求证:1-1/2+1/3-1/4+……+1/(2n-1)-1/2n
求证:1-1/2+1/3-1/4+……+1/(2n-1)-1/2n<(根号2)/2

求证:1-1/2+1/3-1/4+……+1/(2n-1)-1/2n
运用中学方法可如下解决:
先证1/(2n-1)-1/2n

By Maclaurin Series,
1-1/2+1/3-1/4+……+1/(2n-1)-1/2n