证明 lim(1-1/2^n)=1 n趋向于无穷大

Question

证明 lim(1-1/2^n)=1 n趋向于无穷大

Answer 1

对于任意正数a
存在正整数N=[-log2(a)]+1（解1/2^nN时,有|(1-1/2^n)-1|=|-1/2^n|=1/2^n