计算极限x→2,limx²－3x＋2／x²－4,

题目

计算极限x→2,limx²－3x＋2／x²－4,

答案

(x²-3x+2)/(x²-4)
=(x-1)(x-2)/(x+2)(x-2)
=(x-1)/(x+2)
limx->2 (x-1)/(x+2)=1/4