lim sin 2^x的极限是？
\u6c42\u6781\u9650lim(x\u21920) sin(1-x)/(1-x^2)\u5982\u679cx\u662f\u8d8b\u4e8e0\u7684\uff0c\u90a3\u6781\u9650\u503c\u5c31\u662fsin1
\u4f30\u8ba1\u9898\u76ee\u662fx\u8d8b\u4e8e1\u7684\u5427\uff1f
\u5982\u679cx\u662f\u8d8b\u4e8e1\u7684 \u53ef\u4ee5\u7528\u7b49\u4ef7\u65e0\u7a77\u5c0f sin(1-x)~(1-x)
\u539f\u6781\u9650=lim(x\u21921) 1/1+x =1/2
lim x\u21921 sin^2(x-1)/(x^2-1)
=lim x\u21921 sin(x-1)•sin(x-1)/[(x+1)•(x-1)]
=lim x\u21921sin(x-1)/(x-1)•lim x\u21921sin(x-1)/(x+1)
=lim x\u21921cos(x-1)/1•lim x\u21921sin(x-1)/(x+1)
=1•0
=0
\u8fd9\u9053\u9898\u7684\u6280\u5de7\uff1a\u5229\u7528\u6781\u9650\u8fd0\u7b97\u89c4\u5219\uff1a lim[f (x) g(x)] = limf (x) \u00b7 limg(x)
\u7136\u540e\u518d\u7528\u6d1b\u5fc5\u8fbe\u6cd5\u5219\u3002
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