Question

求 lim sin(x-1)/(x^2-1) 其中 x->1

Answer 1

lim sin(x-1)/(x^2-1) =lim sin(x-1)/((x-1)(x+1))=lim sin(x-1)/(x-1)*lim1/(x+1)=1*1/2=1/2 其中 x->1