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求极限1+1/2^3+1/3^3+...1/n^3?
题目详情
求极限1+1/2^3+1/3^3+...1/n^3?
▼优质解答
答案和解析
这个数列没有极限的 或者说极限求不出来
这个题是你自己想出来的吧
把N^3改成 N^3-N 求出来他的极限小于5/4 但不精确了
放小的话又不好放
我用C语言编了个程序大概算了一下
到了n=1860时 双精度的实型不够用了 就没往下算了
1816:1.20205648822346370000000000000000
1817:1.20205648881037370000000000000000
1818:1.20205648939389010000000000000000
1819:1.20205648997404780000000000000000
1820:1.20205649055088190000000000000000
1821:1.20205649112442670000000000000000
1822:1.20205649169471560000000000000000
1823:1.20205649226178220000000000000000
1824:1.20205649282565900000000000000000
1825:1.20205649338637840000000000000000
1826:1.20205649394397220000000000000000
1827:1.20205649449847150000000000000000
1828:1.20205649504990710000000000000000
1829:1.20205649559830950000000000000000
1830:1.20205649614370860000000000000000
1831:1.20205649668613380000000000000000
1832:1.20205649722561430000000000000000
1833:1.20205649776217860000000000000000
1834:1.20205649829585500000000000000000
1835:1.20205649882667150000000000000000
1836:1.20205649935465520000000000000000
1837:1.20205649987983330000000000000000
1838:1.20205650040223230000000000000000
1839:1.20205650092187870000000000000000
1840:1.20205650143879830000000000000000
1841:1.20205650195301670000000000000000
1842:1.20205650246455910000000000000000
1843:1.20205650297345020000000000000000
1844:1.20205650347971460000000000000000
1845:1.20205650398337660000000000000000
1846:1.20205650448445980000000000000000
1847:1.20205650498298790000000000000000
1848:1.20205650547898400000000000000000
1849:1.20205650597247100000000000000000
1850:1.20205650646347160000000000000000
1851:1.20205650695200790000000000000000
1852:1.20205650743810200000000000000000
1853:1.20205650792177550000000000000000
1854:1.20205650840304990000000000000000
1855:1.20205650888194640000000000000000
1856:1.20205650935848560000000000000000
1857:1.20205650983268830000000000000000
1858:1.20205651030457480000000000000000
1859:1.20205651077416520000000000000000
1860:1.20205651124147920000000000000000
我觉得他的极限存在但 不能用现在所学的式子表示出来
这个题是你自己想出来的吧
把N^3改成 N^3-N 求出来他的极限小于5/4 但不精确了
放小的话又不好放
我用C语言编了个程序大概算了一下
到了n=1860时 双精度的实型不够用了 就没往下算了
1816:1.20205648822346370000000000000000
1817:1.20205648881037370000000000000000
1818:1.20205648939389010000000000000000
1819:1.20205648997404780000000000000000
1820:1.20205649055088190000000000000000
1821:1.20205649112442670000000000000000
1822:1.20205649169471560000000000000000
1823:1.20205649226178220000000000000000
1824:1.20205649282565900000000000000000
1825:1.20205649338637840000000000000000
1826:1.20205649394397220000000000000000
1827:1.20205649449847150000000000000000
1828:1.20205649504990710000000000000000
1829:1.20205649559830950000000000000000
1830:1.20205649614370860000000000000000
1831:1.20205649668613380000000000000000
1832:1.20205649722561430000000000000000
1833:1.20205649776217860000000000000000
1834:1.20205649829585500000000000000000
1835:1.20205649882667150000000000000000
1836:1.20205649935465520000000000000000
1837:1.20205649987983330000000000000000
1838:1.20205650040223230000000000000000
1839:1.20205650092187870000000000000000
1840:1.20205650143879830000000000000000
1841:1.20205650195301670000000000000000
1842:1.20205650246455910000000000000000
1843:1.20205650297345020000000000000000
1844:1.20205650347971460000000000000000
1845:1.20205650398337660000000000000000
1846:1.20205650448445980000000000000000
1847:1.20205650498298790000000000000000
1848:1.20205650547898400000000000000000
1849:1.20205650597247100000000000000000
1850:1.20205650646347160000000000000000
1851:1.20205650695200790000000000000000
1852:1.20205650743810200000000000000000
1853:1.20205650792177550000000000000000
1854:1.20205650840304990000000000000000
1855:1.20205650888194640000000000000000
1856:1.20205650935848560000000000000000
1857:1.20205650983268830000000000000000
1858:1.20205651030457480000000000000000
1859:1.20205651077416520000000000000000
1860:1.20205651124147920000000000000000
我觉得他的极限存在但 不能用现在所学的式子表示出来
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