计算极限 lim(sin3x/sin5x) x趋近于0 lim[2x²/(1-cosx)]x趋近于0

问题描述:

计算极限 lim(sin3x/sin5x) x趋近于0 lim[2x²/(1-cosx)]x趋近于0
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1个回答 分类:数学 2014-10-31

问题解答:

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lim(sin3x/sin5x) x趋近于0
=lim3/5(5xsin3x/3xsin5x) x趋近于0
=3/5
lim[2x²/(1-cosx)]x趋近于0
=lim[2x²/(2sin^x)]x趋近于0
=1
 
 
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