1\x(x+1)+1\(x+1)(x+2)+1\(x+2)(x+3)+----+1\(x+2012)(x+2013)

问题描述:

1\x(x+1)+1\(x+1)(x+2)+1\(x+2)(x+3)+----+1\(x+2012)(x+2013)

1\x(x+1)+1\(x+1)(x+2)+1\(x+2)(x+3)+----+1\(x+2012)(x+2013)=1/x-1/(x+1)+1/(x+1)-1/(x+2)+.+1/(x+2012)-1/(x+2013)=1/x-1/(x+2013)=2013/x(x+2013)如果本题有什么不明白可以追问,