lim(n趋向于无穷)(1-e^(1/n))sinn
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lim(n趋向于无穷)(1-e^(1/n))sinn
lim(n趋向于无穷)(1-e^(1/n))sinn
lim(n趋向于无穷)(1-e^(1/n))sinn
e^(1/n)在n趋于无穷的时候极限是1
1-e^(1/n)的极限是0
而sinn则在[-1,1]之间振荡,所以是有界极限
0*有界极限 = 0
所以原式 = 0
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