设[tex=8.357x1.214]6m6IpLK9nxKlloS9uQjB0h9Y7ivXQgT+ccqHryZ2bZpJ8eBevWjvIRC9Kaz5rJjT[/tex]是相互独立的随机变量序列,[tex=1.286x1.214]YqpSQin3s2+ehhGzo+oV+g==[/tex]服从参数为[tex=0.643x0.786]/he/ol8BkDuTTL9yMPtH4Q==[/tex]的指数分布[tex=5.643x1.357]NGWbQ9xjBbPjETUZQumFRw/fmak//iRLrHzvWXLffDA=[/tex], 则下列选项中不服从切比雪夫大数定律的随机变量序列是 未知类型：{'options': ['[tex=8.0x1.214]6m6IpLK9nxKlloS9uQjB0uszUQNDgy2KLdEZmUQ+cDnYEPof34VKMnQc3D0EIVFd[/tex]', '[tex=10.214x1.429]uwDK1TXUn5p+uvJHwtPVH6P2qdKxh8c7wtnwLJWD4SpDQF3ExJ2vy4oKm6idsczVKbChC5qAGzpn07rm0XKPIg==[/tex]', '[tex=10.429x1.357]yE/1j6PRk9ZuqsPVP57GK70S8WgtOT0lIvi5cigKUhu8aAksJzCNbR5z6Zdfnxb4[/tex]', '[tex=9.429x1.214]bSMh8ucYkqwG5SGRv3E4gng//5bxBzMjPKbycthAH5I9wv9uvgtNx3WHSyY013DO[/tex]'], 'type': 102}

试明：若级数[tex=4.429x2.714]ySadpvq7BrEZCGdcnD6+aYYKMve96JE4sd3o4QbcQhyFEB8wySY9WvLLExFxYbd4[/tex]及[tex=4.0x2.714]ySadpvq7BrEZCGdcnD6+aZmrAzqw84m41cRzSztSWcBTzzE1dPl749vdarS2YDQV[/tex]皆收敛且[tex=11.071x1.286]KEk9vvqmh+CBNh5nnxa46HqdwXfcZ7FgwC5TRAiXnHCxUdO0AP0u57VybKAorlBU12GvShicsM4yb7ZMMzYXHg==[/tex]，则级数[tex=4.0x2.714]ySadpvq7BrEZCGdcnD6+aeoIzvM7G7HHNcjbk992lZRvUS0Xh/lotVqiUMKn/3kW[/tex]也收敛，若级数 [tex=1.571x1.357]hjG9g3d/QK7lH8zZx+2L/Q==[/tex]与[tex=1.5x1.357]QON3ZX8tDpa8hcC8KI55XA==[/tex]皆发散，问级数[tex=1.5x1.357]jW5HUp91iXA6ZnNyC/+CoQ==[/tex]的收敛性若何？提示：(1)先证级数[tex=5.5x2.714]ySadpvq7BrEZCGdcnD6+aRrMeIUlIOH1QB+K47pqlk3PJyHm4zPMgvDT8ndQ74qKuwSRORSNDNzjOlQ26lPWRw==[/tex]收敛。(2)可能收敛，也可能发散。例如[tex=11.643x2.357]ozp+yD1eymb4/EK2UAZZC9r19Jhg5MU9Rjw7GnxmzJSPaUrcZlSER0YjHa9TokIA11573J3i6NzMPGTxnbTueQ==[/tex][tex=5.643x1.357]NGWbQ9xjBbPjETUZQumFRw/fmak//iRLrHzvWXLffDA=[/tex]。