- #1
libelec
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Homework Statement
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.
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?