利用函数极限求下列数列极限：[tex=11.429x1.429]bwbYkpnQdbdZxpptZeFgi0O7e6hLx41M5GnWdMQ075+z4SkRJopHkvVKI2zhYB+h[/tex]。
解：[tex=16.714x2.786]OqU0SQaVHd2x+OGLCy0gvXbqqiwuFDiL1p75+6XHhKW/HrKZZPWAuPnVYKtjfP3ttedH8NCiEAucfDXnymLKt+HWfKzjPcaTqepWFcF3+pVJmGhE41vyZqffyhpDY7DchbQ84/uX4340fmCwdhIT55WQNVB8ZnN/Sa1Jg9/4VRw=[/tex]
举一反三
- 利用两个重要极限求极限求下列极限：[tex=6.214x2.5]Wh0BbcsxbdPTUak0FdVk/TlTfcIkPeP0OOSTkYJgFxtRmFcoTkkLg4t8AUFUkI79564tydKTmG5dD7lOgDRgag==[/tex].
- 利用极限存在准则证明:数列[tex=19.0x2.786]UebQy5BR388uInyUKzqkBTcpxc/5aZkJ1Yhi7JFHjcbGGT5W2KENUZnijrLXRP/I6nVuygERkOAjyN0DcZdIcD8xqAxKAxcorujQwrnk6bGYuZNScYdzUxO0MbP2VOc5[/tex]的极限存在并求[tex=3.0x1.714]OqU0SQaVHd2x+OGLCy0gvcSD1JSooLY5K80iiCjWVQetN8mKChAvoCV6ZQx1TdT3[/tex]
- 利用函数极限求数列极限（例题）
- 利用数列极限的定义证明极限:[tex=7.714x2.786]OqU0SQaVHd2x+OGLCy0gvbnBdqyRL3fXll51asuCZWkzJRNbRTxtQBWcnJIRZuQfTMdKgbJsbsgTzq9i0FvwfQ==[/tex]
- 求数列 [tex=4.857x1.286]/lPRA9XM7W1JN1cPkGqLJrSive76L6LTSGLZI7Cusbb+GdqFTBWMo8rVpjVykuDO[/tex] 的极限.
内容
- 0
观察下列数列的极限是否存在,如果存在,求出极限(1)(2)(3)(4)(5)(6)(7)(8)(9)(10)
- 1
利用数列极限的定义证明极限:[tex=5.714x2.357]OqU0SQaVHd2x+OGLCy0gvYudstXsA8dnxqkmKhl/YeVci09YKfX4g3o11IxHTNktOH5pRM1HlOt4cFOqsW5YWQ==[/tex]
- 2
利用数列极限的定义证明极限：[tex=6.643x2.786]OqU0SQaVHd2x+OGLCy0gvbnBdqyRL3fXll51asuCZWnhRqsKxAfB+RVzpHXh/K3s7nwHnn1UPBmlejRVcdpWlg==[/tex]
- 3
利用数列极限的定义证明极限：[tex=6.429x2.571]OqU0SQaVHd2x+OGLCy0gvYudstXsA8dnxqkmKhl/YeUsEV4bOkkz4aN0dhGrKa5YZMtS6BjUPl5RW3tIeLIkZw==[/tex]
- 4
利用极限存在准则证明下列数列极限存在，并求出极限值：[tex=5.857x1.429]muVZAvTxmlL3rAhE6jQXHxffyPtpZm35MnQyO7Rfvyc=[/tex]，[tex=3.143x1.5]a4D1L0Am8jTDa+u9dlc13Q==[/tex].