求极限lim (sinxy) / y x->a y->0
问题描述:
求极限lim (sinxy) / y x->a y->0
答
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