
高数求极限/
1个回答
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原式=lim(x->∞)x×2x/(x²+1)×sin[2x/(x²+1)]/[2x/(x²+1)]
=lim(x->∞)2x²/(x²+1)×lim(x->∞)sin[2x/(x²+1)]/[2x/(x²+1)]
=lim(x->∞)2/(1+1/x²)×1
=2
=lim(x->∞)2x²/(x²+1)×lim(x->∞)sin[2x/(x²+1)]/[2x/(x²+1)]
=lim(x->∞)2/(1+1/x²)×1
=2
追问
可以写在纸上拍照吗
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