求数列极限,内容详见内容 怎么用数列极限的定义发求数列极限
\u6570\u5217\u7684\u6781\u9650\u6709\u54ea\u4e9b\u6c42\u6cd51\u3001\u5982\u679c\u4ee3\u5165\u540e\uff0c\u5f97\u5230\u4e00\u4e2a\u5177\u4f53\u7684\u6570\u5b57\uff0c\u5c31\u662f\u6781\u9650\uff1b
2\u3001\u5982\u679c\u4ee3\u5165\u540e\uff0c\u5f97\u5230\u7684\u662f\u65e0\u7a77\u5927\uff0c\u7b54\u6848\u5c31\u662f\u6781\u9650\u4e0d\u5b58\u5728\uff1b
3\u3001\u5982\u679c\u4ee3\u5165\u540e\uff0c\u65e0\u6cd5\u786e\u5b9a\u662f\u5177\u4f53\u6570\u6216\u662f\u65e0\u7a77\u5927\uff0c\u5c31\u662f\u4e0d\u5b9a\u5f0f\u7c7b\u578b\uff0c
\u8ba1\u7b97\u65b9\u6cd5\uff0c\u8bf7\u53c2\u770b\u4e0b\u9762\u7684\u56fe\u7247\u3002
\u62d3\u5c55\u8d44\u6599\u6570\u5217\u7684\u6781\u9650\u95ee\u9898\u662f\u6211\u4eec\u5b66\u4e60\u7684\u4e00\u4e2a\u6bd4\u8f83\u91cd\u8981\u7684\u90e8\u5206\uff0c\u540c\u65f6\uff0c\u6781\u9650\u7684\u7406\u8bba\u4e5f\u662f\u9ad8\u7b49\u6570\u5b66\u7684\u57fa\u7840\u4e4b\u4e00\u3002\u6570\u5217\u6781\u9650\u7684\u95ee\u9898\u4f5c\u4e3a\u5fae\u79ef\u5206\u7684\u57fa\u7840\u6982\u5ff5\uff0c\u5176\u5efa\u7acb\u4e0e\u4ea7\u751f\u5bf9\u5fae\u79ef\u5206\u7684\u7406\u8bba\u6709\u7740\u91cd\u8981\u7684\u610f\u4e49\u3002
\u6570\u5217\u6781\u9650\u7684\u5b9a\u4e49\u53ea\u80fd\u8bc1\u660e\u6781\u9650\u5427,\u8981\u6c42\u7684\u8bdd\u8fd8\u662f\u8981\u7528\u6d1b\u5fc5\u8fbe,\u6cf0\u52d2\u516c\u5f0f\u4e4b\u7c7b\u7684\u795e\u5668\u7ed9\u4f60\u770b\u4e0b\u8bc1\u660e\u7684\u5b9a\u4e49\u548c\u4f8b\u9898\uff0c\u4f9b\u4f60\u53c2\u8003\u3002
=e^lim(1/n+sec²n/tann)
=e^lim(1/n+2/sin2n)
1/n趋于0,而2/sin2n无界,故极限不存在。
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极限不存在!因为tanx无界且不单调
绛旓細1.lim (1+n)/n^2 =lim (1+n)/n / n^2/n =lim (1+1/n) * lim 1/n =1*0 =0 5.lim 1+1/2^n =1+lim 1/2^n =1+0 1 鏈変笉鎳傛杩庤拷闂
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