Each component of V is viewed as a function of n, so that V represents a sequence of vectors $v_n$.

The VectorLimit command determines the limit of this sequence of vectors $v_n$ as n approaches infinity.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{NumericalAnalysis}\right]\right)\:$

$\mathrm{V1}≔\mathrm{Vector}\left(\left[1+\frac{1}{n}\,2-\frac{1}{n}\right]\right)$

$\mathrm{V1}≔\left[\begin{array}{c}1+\frac{1}{n}\\ 2-\frac{1}{n}\end{array}\right]$

$\mathrm{VectorLimit}\left(\mathrm{V1}\,n\right)$

$\left[\begin{array}{c}1\\ 2\end{array}\right]$