数列极限证明：（n→无穷）lim3n+1/2n+1=2/3

Question

数列极限
证明：（n→无穷）lim 3n+1/2n+1=2/3

Answer 1

3n＋1/(2n+1)=1/(2+1/n)+1,当n→无穷,1/n→0所以其极限=3/2