当x的极限等于零,x的平方分之sin的2次方的极限等于多少？ 当x趋向于0，(e的x次方+sin2x)的2/x次方
\u6c42\u5f53x\u21921\u65f6,lim sin(x-1)/x^2-1\u662f\u591a\u5c11 x^2\u4e3ax\u76842\u6b21\u65b9,\u5f53x\u21921\u65f6,lim \u3010sin(x\uff0d1)/\uff08x\uff0d1\uff09\u3011 =lim \u3010sin\uff08x\uff0d1\uff09\uff0f\uff08x\uff0d1\uff09\u3011\u00b71\uff0f\uff08x\uff0b1\uff09 =lim\u3010sin\uff08x\uff0d1\uff09\uff0f\uff08x\uff0d1\uff09\u3011\u00b7lim1\uff0f\uff08x\uff0b1\uff09 =1\u00b71\uff0f\uff081\uff0b1\uff09 =1\uff0f2
\u8fd9\u91cc\u5206\u6b65\u5e26\u5165\u6781\u9650\u7684\u505a\u6cd5\u6709\u95ee\u9898\uff0c\u5f0f\u5b50\u4e2d\u6709\u65e0\u9650\u5927\u91cf\uff082/x\uff09\u4e58\u4ee5\u65e0\u9650\u5c0f\u91cf\uff08ln\uff08...\uff09\uff09\u5b58\u5728\uff0c\u4e0d\u80fd\u5148\u53d6\u65e0\u9650\u5c0f\u91cf\u7684\u6781\u9650\u4e3a0\uff0c\u7136\u540e\u4e58\u4ee5\u65e0\u9650\u5927\u91cf\u7b49\u4e8e0\uff0c\u4ed4\u7ec6\u60f3\u60f3\u8fd9\u6837\u505a\u662f\u4e0d\u662f\u4e0d\u592a\u8bb2\u9053\u7406\u3002
\u4e3e\u4e2a\u4f8b\u5b50\u5427\uff0c\u5047\u8bbe\u8fd9\u9053\u9898\u6ca1\u6709sin2x\uff0c\u5c31\u662fe^x\u76842/x\u6b21\u65b9\uff0c\u90a3\u4e48\u6309\u7167\u8fd9\u4e2a\u505a\u6cd5\u505a\u51fa\u6765\u7b54\u6848\u4f9d\u65e7\u662f1\uff0c\u7136\u800c\u5b9e\u9645\u4e0a\u5f88\u663e\u7136\u662fe^2, \u95ee\u9898\u5c31\u51fa\u5728\u53d6\u6781\u9650\u4e0a\u3002
\u6240\u4ee5\u8fd9\u9898\u5e94\u8be5\u7528\u7b49\u4ef7\u65e0\u7a77\u5c0f\u7684\u65b9\u6cd5\u6765\u601d\u8003\uff0cln\u62ec\u53f7\u5185sin2x\u7b49\u4ef7\u4e8e2x\uff0ce^x-1\u7b49\u4ef7\u4e8ex\uff0c\u6240\u4ee5ln\u62ec\u53f7\u5185\u53ef\u4ee5\u7b80\u5316\u6210\uff081+3x\uff09\uff0c\u800cln\uff081+3x\uff09\u5728x\u7b49\u4e8e0\u7684\u65f6\u5019\u53c8\u7b49\u4ef7\u4e8e3x\uff0c\u6240\u4ee5\u8fd9\u9898\u7684\u7b54\u6848\u662fe^[(2/x)*3x]=e^6
=1
当X的极限等于0，X的平方分之sin的二次方极限等于1。
绛旓細=1
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