lim(x→0)sin5X/sin3X

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lim(x→0)sin5X/sin3Xlim(x→0)sin5X/sin3Xlim(x→0)sin5X/sin3X0/0型的极限,x趋近0时,sinx=xlim(x-->0)sin3x/sin5x=l

lim(x→0)sin5X/sin3X
lim(x→0)sin5X/sin3X

lim(x→0)sin5X/sin3X
0/0型的极限,x趋近0时,sinx=x
lim(x-->0)sin3x/sin5x
=lim(x-->0)3x/5x
=3/5

lim(x→0)[ (sin5x/5x)×5x]/[(sin3x/3x)×3x]
=lim(x→0)5x/3x
=5/3