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求多元函数的极限 lim(x^2+y^2)^(x^2*y^2) x->0,y->0
人气:326 ℃ 时间:2020-01-28 04:07:18
解答
∵x²y²≤(x²+y²)²/4∴0≤(x²+y²)^(x²y²)≤(x²+y²)^[(x²+y²)²/4]∵lim(x->0,y->0){(x²+y²)^[(x²+y²)²/4]}=lim(t->...对数性质是:x=e^lnx(x>0)
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