【limx->1x^1/3-1/x$1/4-1,极限x趋向于-查字典问答网

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　　【limx->1x^1/3-1/x$1/4-1,极限x趋向于1,x的三分一次方减去一除以x的四分一次方减去一..求解!谢】

　　limx->1x^1/3-1/x$1/4-1,极限x趋向于1,x的三分一次方减去一除以x的四分一次方减去一..求解!谢

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2020-06-2023:43

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柯大诩

　　x-1=[x^(1/3)-1][x^(2/3)+x^(1/3)+1]x-1=[x^(1/2)+1][x^(1/2)-1]=[x^(1/2)+1][x^(1/4)+1][x^(1/4)-1]原式=lim(x-1)/[x^(2/3)+x^(1/3)+1]×[x^(1/2)+1][x^(1/4)+1]/(x-1)x趋向于1=lim[x^(1/2)+1][x^(1/4)+1]/[x^(2/...

2020-06-20 23:46:04

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