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除以高次项x^5为啥不行?是不是趋于正无穷时
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![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除以高次项x^5为啥不行?是不是趋于正无穷时](/uploads/image/z/1246148-44-8.jpg?t=x%E8%B6%8B%E4%BA%8E0%E6%97%B6%2Clim%282x%5E4-3x%5E3%2B4x%5E2%29%2F%28x%5E5%2B7x%5E3-2x%5E2%29%3D%3F+%E6%B1%82%E6%9E%81%E9%99%90.lim%28x%E2%86%920%EF%BC%89%282x%5E4-3x%5E3%2B4x%5E2%29%2F%28x%5E5%2B7x%5E3-2x%5E2%29%E3%80%80%E3%80%80%EF%BC%88%E4%B8%8A%E4%B8%8B%E6%8F%90%E5%8F%96%E5%85%AC%E5%9B%A0%E5%BC%8F%2C%E5%B9%B6%E7%BA%A6%E5%88%86%EF%BC%89%3Dlim%28x%E2%86%920%EF%BC%89%282x%5E2-3x%2B4%29%2F%28x%5E3%2B7x-2%29%3D4%2F%28-2%29%3D-2%E9%99%A4%E4%BB%A5%E9%AB%98%E6%AC%A1%E9%A1%B9x%5E5%E4%B8%BA%E5%95%A5%E4%B8%8D%E8%A1%8C%3F%E6%98%AF%E4%B8%8D%E6%98%AF%E8%B6%8B%E4%BA%8E%E6%AD%A3%E6%97%A0%E7%A9%B7%E6%97%B6)
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除以高次项x^5为啥不行?是不是趋于正无穷时
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
除以高次项x^5为啥不行?是不是趋于正无穷时才除以高次,趋于0时除以低次?
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除以高次项x^5为啥不行?是不是趋于正无穷时
那是用在x→∞时的,这个题目是x→0
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