Find the value of x(0) if \(X(s)=\frac{2s^2+5s+12/s}{s^3+4s^2+14s+20}\).

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The Laplace transform is a mathematical technique that converts a function of time into a function in the frequency domain. It is an integral transform that converts a function of a real variable to a function of a complex variable.


Find the value of x(0) if \(X(s)=\frac{2s^2+5s+12/s}{s^3+4s^2+14s+20}\).