:lim(xsin1/x 1/xsinx)x趋于0

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

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