The image you've uploaded appears to be a phase portrait related to a dynamical system, possibly from a system of differential equations. The arrows on the phase portrait indicate the direction of the system's trajectory as time progresses, while the x1 and x2 axes represent the state variables of the system.

You're asked to analyze the phase portrait given the initial conditions $x_1(0) = 0.5$ and $x_2(0) = 0.3$. The question further asks about the behavior of $x_1(t)$ and $x_2(t)$ as $t \to \infty$.

To answer this:

1. Look at the initial point $(x_1(0), x_2(0)) = (0.5, 0.3)$ on the phase portrait. Find this point in the plot.
2. Observe the behavior of trajectories starting from this point. The arrows on the phase portrait will show whether the system converges to a particular equilibrium point.
3. Check for attractors or fixed points: If the trajectory moves toward a point, that point is likely an equilibrium point, and the system will converge to that point as time goes to infinity.
4. Asymptotic behavior: Determine the direction in which the trajectories tend to settle (converge) as $t \to \infty$.

The behavior of the system as $t \to \infty$ depends on whether the equilibrium point is stable or unstable, and which direction the flow tends toward.

Would you like a more detailed explanation of how to analyze the phase portrait, or further breakdown of the system dynamics?