limx趋于正无穷 [1/(1-x)-1/(1-x^3)] 求函数极限
limx趋于正无穷 [1/(1-x)-1/(1-x^3)] 求函数极限
数学人气:380 ℃时间:2020-03-14 13:51:46
优质解答
原式=lim(x→∞)(1+x+x²)/(1-x)(1+x+x²)-1//(1-x)(1+x+x²)]=lim(x→∞)(x+x²)/(1-x³)上下除以x³=lim(x→∞)(1/x²+1/x)/(1/x³-1)=(0+0)/(0-1)=0
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