Question

求x的四次方减一除以x³－1当x趋于1时的极限

Answer 1

答：
lim(x→1) (x^4-1)/(x^3-1)
=lim(x→1) (x-1)(x+1)(x^2+1) / [(x-1)(x^2+x+1)]
=lim(x→1) (x+1)(x^2+1) /(x^2+x+1)
=(1+1)*(1+1) /(1+1+1)
=4/3