高等数学极限运算法则 高等数学中讲的“极限四则运算法则”都有哪些法则？越全越好～:...
\u9ad8\u7b49\u6570\u5b66\uff08\u6781\u9650\u6027\u8d28\u4e0e\u8fd0\u7b97\u6cd5\u5219\uff09\u7b2c\u4e00\u4e2a\u524d\u9762\u662f\u65e0\u7a77\u5c0f\u91cf\uff0c\u540e\u9762\u662f\u6709\u754c\u91cf\uff0c\u6240\u4ee5\u7ed3\u679c\u4e3a0
\u7b2c\u4e8c\u4e2a\u5206\u5b50\u5206\u6bcd\u540c\u9664\u4ee55^n\uff0c\u7ed3\u679c\u4e3a2/5
\u7b2c\u4e09\u4e2a\u5206\u5b50\u5206\u6bcd\u540c\u9664\u4ee5x\uff0c\u6ce8\u610fsinx\u662f\u6709\u754c\u91cf\uff0c\u7ed3\u679c1
\u7b2c\u56db\u95ee\u4ee4\u6839\u53f7x=t\uff0ct\u8d8b\u8fd11\uff0c\u8003\u8651(at+b)/(t^2-1) -1\u7684\u6781\u9650\u5e94\u7b49\u4e8e0\uff0c\u90a3\u4e48at+b\u5fc5\u987b\u542b\u6709t-1\u7684\u56e0\u5f0f\uff0c\u5219b/a=-1,\u4e14t=1\u65f6\uff0ca/(t+1)=1\uff0c\u89e3\u5f97a=2,b=-2
\u8fd0\u7b97\u6cd5\u5219\u9002\u7528\u7684\u6761\u4ef6\u4f60\u6839\u672c\u6ca1\u641e\u61c2\uff0c\u53ea\u6709\u5728\u6781\u9650\u90fd\u5b58\u5728\u7684\u60c5\u51b5\u4e0b\uff0c\u624d\u80fd\u7528\uff0c\u7b2c\u4e00\u9898\u7528\u7684\u660e\u660e\u662f\u91cd\u8981\u6781\u9650\uff0c\u6839\u672c\u4e0d\u662f\u65e0\u7a77\u5c0f\uff0c\u7b2c\u4e8c\u9898\u5c5e\u4e8e0/0\u672a\u5b9a\u5f0f\uff0c\u4e5f\u4e0d\u80fd\u7528\u8fd0\u7b97\u6cd5\u5219\uff0c\u52a0\u51cf\u4e0d\u80fd\u7528\u65e0\u7a77\u5c0f\u66ff\u6362
有二项式展开去做。
只看最高次幂。
其余各项用多项式字母代替。
因此结果为4/3.
分子分母同除以 x^19, 得极限是 2^4/12 = 4/3
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