3. Use the Fourier-Poisson formula to find the limit as t→ ∞ of the solution to the problem U₁ = XUII, IER, t > 0, U (x,0) = { √3 x < 0 1 x > 0. Plot the solutions at several instants of time and describe in qualitative terms the behaviour of the solution to as t→∞o. What is lim_xU(z.t)?

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