Question

求极限：当x趋于2时lim {sin(x^2-4)}/(x^2+x-6)=?

Answer 1

lim {sin(x^2-4)}/(x^2+x-6)=lim(x^2-4)/(x^2+x-6)=lim[(x+2)(x-2)]/[(x+3)(x-2)]

=lim(x+2)/(x+3)

=(2+2)/(2+3)

=4/5