解法一：等价无穷小lim sin(x²-4)/(x-2)x→2=lim (x²-4)/(x-2)x→2=lim (x+2)(x-2)/(x-2)x→2=lim (x+2)x→2=2+2=4解法二：洛必达法则lim sin(x²-4)/(x-2)x→2=lim 2x·cos(x²-4)/1x→2=2·2·cos(2²-4)=4·cos0=4·1=4
