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

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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# Homework Help: Easy Limit Question (Final Value Theorem)

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