x,y->(0,0) lim (√(4+xy)-2)/√xy√w为根号~
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x,y->(0,0) lim (√(4+xy)-2)/√xy√w为根号~
x,y->(0,0) lim (√(4+xy)-2)/√xy
√w为根号~
x,y->(0,0) lim (√(4+xy)-2)/√xy√w为根号~
这个极限等价于z->0 lim(√(4+z)-2)/√z分子有理化 即上下同乘以√(4+z)+2
=z/[√(4+z)+2]*√z=√z/[√(4+z)+2] 所以极限为0
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x,y->(0,0) lim (√(4+xy)-2)/√xy√w为根号~
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