求极限lim(x,y)→(+∞,+∞) [(xy)/(x^2+y^2)]^xy.求极限lim(x,y)→(+∞,+∞) [(xy)_数学解答

求极限lim(x,y)→(+∞,+∞) [(xy)/(x^2+y^2)]^xy.
求极限lim(x,y)→(+∞,+∞) [(xy)/(x^2+y^2)]^xy,

人气：177 ℃　时间：2019-10-17 08:34:39

解答

求极限lim(x,y)→(+∞,+∞) [(xy)/(x²+y²)]^(xy)[(xy)/(x+y)²]^(xy)≦[(xy)/(x²+y²)]^(xy)≦(xy/2xy)^(xy)左边=(x,y)→(+∞,+∞) lim[(xy)/(x+y)²]^(xy)=(x,y)→(+∞,+∞) lim[(xy)/(...