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Student[NumericalAnalysis]

 VectorLimit
 compute the limit of a vector

 Calling Sequence VectorLimit(V, n)

Parameters

 V - Vector n - name; the name of the index variable of the sequence represented by V

Description

 • 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.

Examples

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{NumericalAnalysis}\right]\right):$
 > $\mathrm{V1}≔\mathrm{Vector}\left(\left[1+\frac{1}{n},2-\frac{1}{n}\right]\right)$
 ${\mathrm{V1}}{≔}\left[\begin{array}{c}{1}{+}\frac{{1}}{{n}}\\ {2}{-}\frac{{1}}{{n}}\end{array}\right]$ (1)
 > $\mathrm{VectorLimit}\left(\mathrm{V1},n\right)$
 $\left[\begin{array}{c}{1}\\ {2}\end{array}\right]$ (2)