解方程1/(x+)(x+2)+1/(x+2)(x+3)+...1/(x+99)(x+100)+1/x+100=2009/
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解方程1/(x+)(x+2)+1/(x+2)(x+3)+...1/(x+99)(x+100)+1/x+100=2009/2010
帮帮忙,明天就交了,谢谢了~
帮帮忙,明天就交了,谢谢了~
![解方程1/(x+)(x+2)+1/(x+2)(x+3)+...1/(x+99)(x+100)+1/x+100=2009/](/uploads/image/z/8955739-19-9.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B1%2F%28x%2B%29%28x%2B2%29%2B1%2F%28x%2B2%29%28x%2B3%29%2B...1%2F%28x%2B99%29%28x%2B100%29%2B1%2Fx%2B100%3D2009%2F)
1/(x+1)(x+2) 这个等于1/(x+1)-1/(x+2)
依次类推.
1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+.+1/(x+99)-1/(x+100)+1/(x+100)=2009/2010;
所以1/(x+1)=2009/2010;
解得x=1/2009
依次类推.
1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+.+1/(x+99)-1/(x+100)+1/(x+100)=2009/2010;
所以1/(x+1)=2009/2010;
解得x=1/2009
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