Consider the signals x(t) = 3e2t u(t) + 4e3t u(t) and y(t) = x(t) e-σt.

Which one of the following is/are true? 

1
The Fourier transform of the signal x(t) converges
2
The Fourier transform of the signal y(t) converges at σ = 1
3
The Fourier transform of the signal y(t) converges at σ = 2.5
4
The Fourier transform of the signal y(t) converges at σ = 3.5

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