Consider the discrete system $\mathbf{x}_{n+1} = A\mathbf{x}_n$ where $A$ is diagonalizable with eigenvalues $\lambda_1 = 0.3$, $\lambda_2 = -0.7$, $\lambda_3 = 0.5$. Starting from any nonzero initial vector $\mathbf{x}_0$, what happens as $n \to \infty$?