lim(n→∞) (n+1)(n+2) (n+3)/5n3次方+n 的极限?

问题描述:

lim(n→∞) (n+1)(n+2) (n+3)/5n3次方+n 的极限?

lim(n→∞) (n+1)(n+2)(n+3)/(5n³+n)
=lim(n→∞) (1+1/n)(1+2/n)(1+3/n)/(5+1/n²) .分子分母同时除以n³
=1/5