Tính các giới hạn sau: lim (1 + 1/2n) / 2n

\(\lim \frac{{1 + \frac{1}{{2n}}}}{{2n}}\)\( = \lim \frac{{n\left( {\frac{1}{n} + \frac{1}{{2{n^2}}}} \right)}}{{2n}}\)\( = \lim \frac{{\frac{1}{n} + \frac{1}{{2{n^2}}}}}{2} = \frac{{\lim \left( {\frac{1}{n} + \frac{1}{{2{n^2}}}} \right)}}{{\lim 2}} = \frac{0}{2} = 0\).