x趋于0时,lim(2x^4-3x^3+4x^2)/(x^5+7x^3-2x^2)=?求极限,

问题描述:

x趋于0时,lim(2x^4-3x^3+4x^2)/(x^5+7x^3-2x^2)=?求极限,

lim(x→0)(2x^4-3x^3+4x^2)/(x^5+7x^3-2x^2)  (上下提取公因式,并约分)
=lim(x→0)(2x^2-3x+4)/(x^3+7x-2)
=4/(-2)
=-2为啥不提取x^3,而是提取x^2呢?是呀,最低次项是x^2项,所以只用提取x^2就OK了