lim√(3x^2-1)/(2x^3+1)^1/3 x趋于无穷大
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lim√(3x^2-1)/(2x^3+1)^1/3 x趋于无穷大
lim√(3x^2-1)/(2x^3+1)^1/3 x趋于无穷大
lim√(3x^2-1)/(2x^3+1)^1/3 x趋于无穷大
上下除以x
x趋于-无穷
即x<0
则分子=-√(3-1/x²)
原式=lim-√(3-1/x^2)/(2+1/x^3)^(1/3)
=-√3/2^(1/3)
而x趋于+无穷则原式=√3/2^(1/3)
所以极限不存在
limx->∞√(3x^2-1)/(2x^3+1)^1/3
=limx->∞x√(3-1/x^2)/x(2+1/x^3)^1/3
=limx->∞√(3-1/x^2)/(2+1/x^3)^1/3
=√3/2^1/3
=
lim x-无穷 (√3x^2+1)/x+1
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