Given \(f\left( t \right)={L^{ - 1}}\left[ {\frac{{3s + 1}}{{{s^3} + 4{s^2} + s\left( {k - 3} \right)}}} \right]\) if \(\mathop {\lim }\limits_{t \to \infty } f\left( t \right) = 1\), then the value of k is 

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