- #1
Saladsamurai
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Homework Statement
I am given finction in the Laplace domain
[tex]X(s) = \frac{3s+7}{s^2(s+9)}[/tex]
and I am asked to find:
[tex]\lim_{t\rightarrow\infty}x(t)[/tex]
I solved this by partial fraction expansion and transformed it to the time domain, took the limit and the result was an infinite limit.
I feel like I could have used the Final Value Theorem which says that [itex]\lim_{t\rightarrow\infty}x(t) = \lim_{s\rightarrow 0}X(s)[/itex] and made this easier. Does anyone see how? As it stands, I cannot evaluate the limit as s-->0 because of the denominator. But if I could get it into an 'indeterminate form' I could use L'Hopital's rule.
Any thoughts?
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