lim(x趋于∞)(1/(2-x))/(12/(8-x^3))的极限

来源:学生作业帮助网 编辑:作业帮 时间:2024/03/29 00:07:28
lim(x趋于∞)(1/(2-x))/(12/(8-x^3))的极限

lim(x趋于∞)(1/(2-x))/(12/(8-x^3))的极限
lim(x趋于∞)(1/(2-x))/(12/(8-x^3))的极限

lim(x趋于∞)(1/(2-x))/(12/(8-x^3))的极限
原式=lim(x→∞)(8-x^3)/(2-x)*1/12=1/12lim(x→∞)(4+2x+x^2)=+∞

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