lim( tan3x-sin5x)/X X趋于0 求极限

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lim( tan3x-sin5x)/X X趋于0 求极限
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lim( tan3x-sin5x)/X X趋于0 求极限
lim( tan3x-sin5x)/X X趋于0 求极限

lim( tan3x-sin5x)/X X趋于0 求极限
以下省略“X趋于0 ”

lim( tan3x-sin5x)/X
=lim tan3x/X -limsin5x/x
=3lim tan3x/3X -5limsin5x)/5X
=3-5
=-2

lim(x->0) ( tan3x-sin5x)/x
=lim(x->0) ( tan3x/x) -lim(x->0) (sin5x/x)
=3-5
=-2