求下列极限？

lim sin2x/sin3x
x→0

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lim(sin2x/sin3x)
=lim(xsin2x/xsin3x)
=lim2/3(3xsin2x/戚举2xsin3x)
=lim2/3(sin2x/2x)/(sin3x/消仔高拿尺3x)
=2/3lim(sin2x/2x)/lim(sin3x/3x)
=2/3

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