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Consider the function $f(t)$ having Laplace transform $$ \text{F}(s)=\frac{\omega_0}{s^2+\omega_0^2} \operatorname{Re}[s]>0 $$ The final value of $f(t)$ would be

  1. $0$
  2. $1$
  3. $-1 \leq f(\infty) \leq 1$
  4. $\infty$
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