:lim(xsin1/x+1/xsinx)x趋于0
问题描述:
:lim(xsin1/x+1/xsinx)x趋于0
答
答案是1.
lim(x→0) [xsin(1/x)+(1/x)sinx]
=lim(x→0) xsin(1/x)+lim(x→0) sinx/x,前面一项是(0×有界函数),等于0
=0+1
=1