1/x·3x+1/3x·5x+1/5x·7x+1/7x·9x……+1/17x·19x有什么规律?根据规律,当x=2时,式子的值是多少

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1/x·3x+1/3x·5x+1/5x·7x+1/7x·9x……+1/17x·19x有什么规律?根据规律,当x=2时,式子的值是多少
1/x·3x+1/3x·5x+1/5x·7x+1/7x·9x……+1/17x·19x
有什么规律?根据规律,当x=2时,式子的值是多少

1/x·3x+1/3x·5x+1/5x·7x+1/7x·9x……+1/17x·19x有什么规律?根据规律,当x=2时,式子的值是多少
原式=1/x²﹙1/1×3+1/3×5+1/5×7+1/7×9+……+1/17×19﹚
=2/x²﹙1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+……+1/17-1/19﹚
=2/x²﹙1-1/19﹚
= 2/x²×18/19
=36/19x²
=36/﹙19×2²﹚
=9/19.

列项,原式等于1/2X*X(1-1/3+1/3-1/5.........-1/19)=9/19x*x.当x=2时原式等于9/76

原式=1/x²﹙1/1×3+1/3×5+1/5×7+1/7×9+……+1/17×19﹚
=2/x²﹙1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+……+1/17-1/19﹚
=2/x²﹙1-1/19﹚
= 2/x²×18/19
=36/19x...

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原式=1/x²﹙1/1×3+1/3×5+1/5×7+1/7×9+……+1/17×19﹚
=2/x²﹙1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+……+1/17-1/19﹚
=2/x²﹙1-1/19﹚
= 2/x²×18/19
=36/19x²
=36/﹙19×2²﹚
=9/19.

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