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I had a question about the final value theorem:

lim sF(s)

S->0

=

lim F(t)

t->infinity

I was told I can only use this if I know that a final value exists for f, or in other words that f(infinity) exists.

How can I check if it exists? If I have F(s), the only way I can think to check is to find the inverse Laplace and then see. If I do that, then there is no use of me applying the final value theorem as I will already know what it is.

Can some explain how one can determine whether or not the final value exists before applying the theorem?

Thanks!!

I had a question about the final value theorem:

lim sF(s)

S->0

=

lim F(t)

t->infinity

I was told I can only use this if I know that a final value exists for f, or in other words that f(infinity) exists.

How can I check if it exists? If I have F(s), the only way I can think to check is to find the inverse Laplace and then see. If I do that, then there is no use of me applying the final value theorem as I will already know what it is.

Can some explain how one can determine whether or not the final value exists before applying the theorem?

Thanks!!