问题标题：
计算1/X(X+1)+1/(X+1)(X+2)+.+1/(X+99)(X+100)
问题描述：
计算1/X(X+1)+1/(X+1)(X+2)+.+1/(X+99)(X+100)
卢慧琼回答：
1/X(X+1)+1/(X+1)(X+2)+.+1/(X+99)(X+100)
=[1/x-1/(x+1)]+[1/(x+1)-1/(x+2)]+.+[1/(x+99)-1/(x+100)]
=1/x-1//(x+100)
=100/x（x+100）
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