问题 填空题 已知an=2n-1n+1(2+1n)m1≤n≤100 n>101(正整数m为常数),则limn→∞an=______. 答案 由题意,limn→∞an=limn→∞(2+1n)m =[limn→∞(2+1n)]m=2m故答案为:2m