将原式化简为:1∕2+2∕3+3∕4+4∕5+······+999∕1000=﹙1-1∕2)+(1-1∕3)+(1-1∕4)+(1-1∕5)+······+(1-1∕1000)=999-(1∕2+1∕3+1∕4+1∕5+······+1∕1000)=999-1∕(1000!) 这就是结果啦,我相信你应该看得懂1000!吧 望采纳
999—0.5772157(欧拉常数)