作业帮lim [(2x+1)^(1/2)-3] / [(x-2)^(1/2) - 2^(1/2)]如题,求极限
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lim [(2x+1)^(1/2)-3] / [(x-2)^(1/2) - 2^(1/2)]如题,求极限
lim
如题,求极限
lim [(2x+1)^(1/2)-3] / [(x-2)^(1/2) - 2^(1/2)]如题,求极限
更好一点的方法：
分子分母同乘以[(2x+1)^(1/2)+3] *[(x-2)^(1/2) + 2^(1/2)]
则(x-4)的因子一定能约掉!
这叫共轭因式法, 适用于含根式的两分式相除而分母为零的情况.
授人鱼不如授人以渔
上下求导
{(1/2)*[(2x+1)^(-1/2)]*2}/{(1/2)*[(x-2)^(-1/2)]*1}
lim
三分之二倍的根号二
pp
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