limx趋近于∞5^n×sin(x/5^n)求极限
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limx趋近于∞5^n×sin(x/5^n)求极限
limx趋近于∞5^n×sin(x/5^n)求极限
limx趋近于∞5^n×sin(x/5^n)求极限
limx→∞5^n×sin(x/5^n)
=limx→∞sin(x/5^n)/(1/5^n)
=xlimx→∞sin(x/5^n)/(x/5^n)
=x×1
=x
limx趋近于∞5^n×sin(x/5^n)求极限
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