求lim(x趋向0)4x^3-2x^2+x)/(3x^2+2x)的极限

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/28 08:18:50
求lim(x趋向0)4x^3-2x^2+x)/(3x^2+2x)的极限
x){)'3WŶ&iRgkTg]~O1iTy>ټƗ3'$铩SΆ[Vm\^ZPF 1H0hB4[4cD#2W3VAAeO;4YTi*ye/{yӎpcs 

求lim(x趋向0)4x^3-2x^2+x)/(3x^2+2x)的极限
求lim(x趋向0)4x^3-2x^2+x)/(3x^2+2x)的极限

求lim(x趋向0)4x^3-2x^2+x)/(3x^2+2x)的极限
lim(x趋向0)4x^3-2x^2+x)/(3x^2+2x)
=lim(x趋向0)(4x^2-2x+1)/(3x+2)
=1/2

lim[4x^3-2x^2+x)/(3x^2+2x)]
=lim[(4x^2-2x+1)/(3x+2)] (约分)
=lim[(8x-2)/3] (洛必达法则)
=-2/3

1/2