Question

简单高数极限题证lim n分之根号下（n^2+a^2) =1 要具体步骤,

Answer 1

呵呵,楼下这位,你这样解答又引出“证：a/n→0”一题了,还是应该用定理来证：

对于任意ε,要使

|[（n^2+a^2)^(1/2)]/n-1|=|[（n^2+a^2)^(1/2)-(n^2)^(1/2)]/n|=a^2/[n（n^2+a^2)^(1/2)+(n^2)^(1/2)]N时

|[（n^2+a^2)^(1/2)]/n-1|