已知|xy-2|+|y-1|=0
已知|xy-2|+|y-1|=0,求1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……+1/(x+2015)(y+2015)的值。...
已知|xy-2|+|y-1|=0,求1/xy + 1/(x+1)(y+1)+1/(x+2)(y+2)+……+1/(x+2015)(y+2015)的值。
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已知|xy-2|+|y-1|=0,求1/xy + 1/(x+1)(y+1)+1/(x+2)(y+2)+……+1/(x+2015)(y+2015)的值。
已知|xy-2|+|y-1|=0,
则y-1=0 y=1
xy-2=0 x=2
1/xy + 1/(x+1)(y+1)+1/(x+2)(y+2)+……+1/(x+2015)(y+2015)
=1/1×2+1/2×3+1/3×4+……+1/2016×2017
=1-1/2+1/2-1/3+1/3-1/4+……+1/2016-1/2017
=1-1/2017
=2016/2017
已知|xy-2|+|y-1|=0,
则y-1=0 y=1
xy-2=0 x=2
1/xy + 1/(x+1)(y+1)+1/(x+2)(y+2)+……+1/(x+2015)(y+2015)
=1/1×2+1/2×3+1/3×4+……+1/2016×2017
=1-1/2+1/2-1/3+1/3-1/4+……+1/2016-1/2017
=1-1/2017
=2016/2017
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