求lim(x趋于8时)(3次根号下x^2-2)/(x-8)的极限

Question

求lim(x趋于8时)(3次根号下x^2-2)/(x-8)的极限

Answer 1

a^3-b^3=(a-b)(a^2+ab+b^2)
原式=lim1/(a^2/3+2a^1/3+4)
=1/12