lim（x→2）x-2 /sin(

A:
simple form
=limx->2 (x^2-4)/[(x+2)sin(x^2-4)]
Because X - > 2, limx - > 2, x ^ 2-4 = 0
So limx - > 2 (x ^ 2-4) / sin (x ^ 2-4) = 1
simple form
=limx->2 1/(x+2)
=1/4

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