1/2=1/1x2=1/1-1/2,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/41.猜想其规律,用含有n的字母的等式表示,并证明(n为正数)2.用1 的规律计算1/(x-2)(x-3)-2/(x-1)(x-3)+1/(x-1)(x-2)
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1/2=1/1x2=1/1-1/2,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/41.猜想其规律,用含有n的字母的等式表示,并证明(n为正数)2.用1的规律计算1/(x-2)
1/2=1/1x2=1/1-1/2,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/41.猜想其规律,用含有n的字母的等式表示,并证明(n为正数)2.用1 的规律计算1/(x-2)(x-3)-2/(x-1)(x-3)+1/(x-1)(x-2)
1/2=1/1x2=1/1-1/2,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/4
1.猜想其规律,用含有n的字母的等式表示,并证明(n为正数)
2.用1 的规律计算1/(x-2)(x-3)-2/(x-1)(x-3)+1/(x-1)(x-2)
1/2=1/1x2=1/1-1/2,1/6=1/2x3=1/2-1/3,1/12=1/3x4=1/3-1/41.猜想其规律,用含有n的字母的等式表示,并证明(n为正数)2.用1 的规律计算1/(x-2)(x-3)-2/(x-1)(x-3)+1/(x-1)(x-2)
1...1/n(n+1)=1/n-1/(n+1)
证明:1/n-1/(n+1)=[(n+1)-n]/[n(n+1)]=1/n(n+1)
2...1/(x-2)(x-3)-2/(x-1)(x-3)+1/(x-1)(x-2)
=1/(x-3)-1/(x-2)-2/(x-1)(x-3)+1/(x-2)-1/(x-1)
=1/(x-3)-2/(x-1)(x-3)-1/(x-1)
=0
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