关于集合的上下确界的问题:E={x+y|x€X,y€Y}.X,Y是实数的非空有界集合,证明:SupE=supX+SupY,InfE=InfX+InfY
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 11:03:25
![关于集合的上下确界的问题:E={x+y|x€X,y€Y}.X,Y是实数的非空有界集合,证明:SupE=supX+SupY,InfE=InfX+InfY](/uploads/image/z/6126124-4-4.jpg?t=%E5%85%B3%E4%BA%8E%E9%9B%86%E5%90%88%E7%9A%84%E4%B8%8A%E4%B8%8B%E7%A1%AE%E7%95%8C%E7%9A%84%E9%97%AE%E9%A2%98%EF%BC%9AE%3D%7Bx%2By%7Cx%26%238364%3BX%2Cy%26%238364%3BY%7D.X%2CY%E6%98%AF%E5%AE%9E%E6%95%B0%E7%9A%84%E9%9D%9E%E7%A9%BA%E6%9C%89%E7%95%8C%E9%9B%86%E5%90%88%2C%E8%AF%81%E6%98%8E%EF%BC%9ASupE%3DsupX%2BSupY%2CInfE%3DInfX%2BInfY)
xSnPKJ"ߚ6J{JM"j+5*h/EK#y4a/t1&xf993(Iv ;/[צSHC8?iο,xvΓE{o;AA]lf.)Zs~J
$\]4k,<ۏR|?𦢧{d
U|:| Ǣsȇ">CS@V~P .E*-nQESxK2]?IdC[gkA]ɱGΪI/l"4Pbd8ef Sl(!gq:KɥMz9'IZ?6p+ 6)&GکlFq['wܞ'l