lim {(-4)^n+5^n}/{4^(n+1) + 5^(n+1)} n→无限

问题描述:

lim {(-4)^n+5^n}/{4^(n+1) + 5^(n+1)} n→无限

(-4)^n+5^n}/{4^(n+1) + 5^(n+1)
同时除以5^(n+1) 得到((-4/5)^n/5+1/5)/((4/5)^(n+1)+1)
lim {(-4)^n+5^n}/{4^(n+1) + 5^(n+1)} n→无限
=1/5