(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If f(t) transforms into F(s), so that [tex]\[

F(s) = \frac{{s + 1}}{{s^2 + as + 1}},a \in

\]

[/tex], prove that if a < 0, the function f(t) isn't bounded, and if a >= 0, it is bounded. Prove that if -2 < a < 2, f(t) oscilates.

3. The attempt at a solution

I honestly have no idea how to do this. I think I have to use the final value property, but that gives me that f(t) has a finite limit when t approaches to infinity wheather a is positive or not (actually, if a is 0, it gives me that f(t) diverges).

Help?

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# Homework Help: Find if a function is bounded through its Laplace transform

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