请高手帮忙1/n-1/2n+1/3n-1/4n……[(-1)^n-1](1/n^2)的前n项和原题为求前n项和极限我省略后一步我想请2L的证明一下你所说的显然级数∑(-1)^nUn若limUn-->0且Un>U(n+1)满足这两个条件才称为莱布尼兹级数2L
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![请高手帮忙1/n-1/2n+1/3n-1/4n……[(-1)^n-1](1/n^2)的前n项和原题为求前n项和极限我省略后一步我想请2L的证明一下你所说的显然级数∑(-1)^nUn若limUn-->0且Un>U(n+1)满足这两个条件才称为莱布尼兹级数2L](/uploads/image/z/2731241-65-1.jpg?t=%E8%AF%B7%E9%AB%98%E6%89%8B%E5%B8%AE%E5%BF%991%2Fn-1%2F2n%2B1%2F3n-1%2F4n%E2%80%A6%E2%80%A6%5B%28-1%29%5En-1%5D%281%2Fn%5E2%29%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%E5%8E%9F%E9%A2%98%E4%B8%BA%E6%B1%82%E5%89%8Dn%E9%A1%B9%E5%92%8C%E6%9E%81%E9%99%90%E6%88%91%E7%9C%81%E7%95%A5%E5%90%8E%E4%B8%80%E6%AD%A5%E6%88%91%E6%83%B3%E8%AF%B72L%E7%9A%84%E8%AF%81%E6%98%8E%E4%B8%80%E4%B8%8B%E4%BD%A0%E6%89%80%E8%AF%B4%E7%9A%84%E6%98%BE%E7%84%B6%E7%BA%A7%E6%95%B0%E2%88%91%28-1%29%5EnUn%E8%8B%A5limUn--%3E0%E4%B8%94Un%3EU%28n%2B1%29%E6%BB%A1%E8%B6%B3%E8%BF%99%E4%B8%A4%E4%B8%AA%E6%9D%A1%E4%BB%B6%E6%89%8D%E7%A7%B0%E4%B8%BA%E8%8E%B1%E5%B8%83%E5%B0%BC%E5%85%B9%E7%BA%A7%E6%95%B02L)
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