lim(x趋于∞)(1/(2-x))/(12/(8-x^3))的极限

发布时间:2021-03-14 23:36:23

lim(x趋于∞)(1/(2-x))/(12/(8-x^3))的极限

网友回答

原式=lim(x→∞)(8-x^3)/(2-x)*1/12=1/12lim(x→∞)(4+2x+x^2)=+∞
======以下答案可供参考======
供参考答案1:
lim(x→∞) [1/(2-x)]-[12/(8-x³)]
=lim(x→∞) [(4+2x+x²)/(8-x³)]-[12/(8-x³)]
=lim(x→∞) (4+2x+x²-12)/(8-x³)
=lim(x→∞) [(2/x²)+(1/x)-(8/x³)]/[(8/x³-1)]
=(0+0-0)/(0-1)
=0
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