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1÷X(X+1)+1÷(X+1)(X+2)+1÷(x+2)(x+3)+·····+1÷(x+1998)(x+1999)
题目详情
1÷X(X+1)+1÷(X+1)(X+2)+1÷(x+2)(x+3)+·····+1÷(x+1998)(x+1999)
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答案和解析
原式=1/X-1/(X+1)+1/(X+1)-1/(X+2)+1/(x+2)-1/(x+3)+·····+1/(x+1998)-1/(X+1999)
=1-1/(X+1999)
=(X+1998)/(X+1999)
=1-1/(X+1999)
=(X+1998)/(X+1999)
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