化简:2009*(1-1/2-1/3-1/4-1/5-1/6-……1/2009)

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化简:2009*(1-1/2-1/3-1/4-1/5-1/6-……1/2009)

化简:2009*(1-1/2-1/3-1/4-1/5-1/6-……1/2009)
化简:2009*(1-1/2-1/3-1/4-1/5-1/6-……1/2009)

化简:2009*(1-1/2-1/3-1/4-1/5-1/6-……1/2009)
1+(1/2)+……+(1/n)=ln(n)+0.5822
1-1/2-1/3-1/4-1/5-1/6-……1/2009
=2-1-1/2-1/3-1/4-1/5-1/6-……1/2009
=2-ln(2009)-0.5772
=2-7.6054-0.5772
=-6.1826
2009*(1-1/2-1/3-1/4-1/5-1/6-……1/2009)
=-12420.8434

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