Question

求解高数简单一题

1.lim n->∞ 3/根号下n=？

2.lim n->∞ [ n+(-1)^n ]/n=?

Answer 1

Answer 2

lim n->∞ 3/根号下n=3/(lim n->∞ 根号下n)=3/∞ =0
lim n->∞ [ n+(-1)^n ]/n=lim n->∞ [1+(-1)^n /n]=1+lim n->∞ [(-1)^n /n]
=1+(lim n->∞ (-1)^n)/(lim n->∞ n)
=1+ (lim n->∞ (-1)^n)/∞
=1+0
=1