Question

请把过程写出来求 LIM SIN 的平方—（X—1） X的平方—1 X→1 有可能当中的横线没了题目会变的不清楚是X的平

Answer 1

lim_(x→1)[sin(x-1)^2/(x^2-1)]

=lim_(x→1)[sin(x-1)^2/(x-1)^2][(x-1)^2/(x+1)(x-1)]

=lim_(x→1)[sin(x-1)^2/(x-1)^2]*lim_(x→1)[(x-1)/(x+1)]

=1*0=0.