求函数的极限:lim(sin(XY)/X);其中X无限趋近0,Y无限趋近a,(a为不等于0的常数).

问题描述:

求函数的极限:lim(sin(XY)/X);其中X无限趋近0,Y无限趋近a,(a为不等于0的常数).

Lim sin(xy)/x x→0,y→a
= Lim (xy)/x x→0,y→a
= Lim y x→0,y→a
= a