lim(x→3)(x^2-4x+3)/[sin(x-3)]

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lim(x→3)(x^2-4x+3)/[sin(x-3)]

lim(x→3)(x^2-4x+3)/[sin(x-3)]
lim(x→3)(x^2-4x+3)/[sin(x-3)]

lim(x→3)(x^2-4x+3)/[sin(x-3)]
原式=lim(x→3)(x-3)(x-1)/sin(x-3)
=lim(x→3)(x-1)[(x-3)/sin(x-3)]
=(3-1)*1
=2