how to Find the final value of the transfer function

Question : Find the final value of the transfer function \[F\left(s\right)=\frac{5005}{s\left(s^2+2s+1001\right)} \]Solution : We shall Use final value theorem to find final value f(infinity) of the transfer function \[F\left(s\right)=\frac{5005}{s\left(s^2+2s+1001\right)}\] By finall value theorem \[f\left(\infty\right)=limit_{s\rightarrow 0\ }sF\left(s\right)\] \[f\left(\infty\right)=limit_{s\rightarrow 0 }\frac{5005s}{s\left(s^2+2s+1001\right)}\] \[f\left(\infty\right)=limit_{s\rightarrow…

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