问题 填空题 已知数列{an}中,an=3n(1≤n≤2009)2n2+1n2-3n(n>2009)则limn→∞an=______. 答案 由题知数列{an}中,an=3n(1≤n≤2009)2n2+1n2-3n(n>2009),则limn→∞an=limn→∞2n2+1n2-3n=2.故答案为:2