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10.2: La Matriz Exponencial como Límite de Poderes
https://espanol.libretexts.org/Matematicas/Algebra_lineal/Libro%3A_An%C3%A1lisis_Matriz_(Cox)/10%3A_La_Matriz_Exponencial/10.02%3A_La_Matriz_Exponencial_como_L%C3%ADmite_de_Poderes
\[(I+\frac{At}{2})^2 = \begin{pmatrix} {1}&{\frac{t}{2}}\\ {\frac{-t}{2}}&{1} \end{pmatrix} \begin{pmatrix} {1}&{\frac{t}{2}}\\ {\frac{-t}{2}}&{1} \end{pmatrix} = \begin{pmatrix} {1-\frac{t^2}{4}}&{t}... $(I+\frac{At}{2})^2 = \begin{pmatrix} {1}&{\frac{t}{2}}\\ {\frac{-t}{2}}&{1} \end{pmatrix} \begin{pmatrix} {1}&{\frac{t}{2}}\\ {\frac{-t}{2}}&{1} \end{pmatrix} = \begin{pmatrix} {1-\frac{t^2}{4}}&{t}\\ {-t}&{1-\frac{t^2}{4}} \end{pmatrix} \nonumber$ $(I+\frac{At}{2})^5 = \begin{pmatrix} {-\frac{2t^2}{5}+\frac{t^4}{125}+1}&{t-\frac{2t^3}{25}+\frac{t^5}{3125}}\\ {-t+\frac{2t^3}{25}-\frac{t^5}{3125}}&{-\frac{2t^2}{5}+\frac{t^4}{125}+1} \end{pmatrix} \nonumber$

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