求极限lim (sinxy) / y x->a y->0

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求极限lim(sinxy)/yx->ay->0求极限lim(sinxy)/yx->ay->0求极限lim(sinxy)/yx->ay->0凑项法:(sinxy)/y改写为::x[(sinxy)/xy]

求极限lim (sinxy) / y x->a y->0
求极限lim (sinxy) / y x->a y->0

求极限lim (sinxy) / y x->a y->0
凑项法:(sinxy) / y改写为::x[(sinxy) / xy]若x->a y->0则xy->0
(sinx和xy都是连续函数)
从而有重要极限知道:lim (sinxy) / y=limx[(sinxy) / xy]
=lim*lim(sinxy) / xy
=a*1
=a

先把x看作常数对y求导
lim(xcosy)
x->a y->0
则答案为acos0= a