lim xsin(2/x) x→∞
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lim xsin(2/x) x→∞
lim xsin(2/x) x→∞
lim xsin(2/x) x→∞
lim(x->无穷)xsin(2/x)
=lim(x->无穷)2sin(2/x)/(2/x)
=2lim(x->无穷)sin(2/x)/(2/x)
=2
因为:
lim(x->0)sinx/x
=1
这是一个重要的极限.
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