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1/X(X+2)+1/(X+1)(X+3)+1\(X+2)(X+4)+.+1/(X+2007)(X+2009)

分类: 作业答案 • 2021-12-28 11:27:53
问题描述：

1/X(X+2)+1/(X+1)(X+3)+1\(X+2)(X+4)+.+1/(X+2007)(X+2009)
要详解

答

1/X(X+2)+1/(X+1)(X+3)+1\(X+2)(X+4)+.+1/(X+2007)(X+2009)=(1/2)(1/x-1/(x+2)+1/(x+2)-1/(x+4)+1/(x+4).1/(x+2007)-1/(x+2009))=(1/2)*(1/2-1/(x+2009))=(x+2007)/4(x+2009)

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