Finding Laplace Transform Limits for Periodic Functions

[orange22]

How would you go about finding the limits of the general laplace transform function for periodic functions?

 

[TenaliRaman]

Could u clarify the question?
More specifically what are these *limits* that u talk abt?

 

[orange22]

If the laplace transform of f for a periodic function is given by

L(f)(s)=

1/(1-e^{-sT})) *integral from 0 to T of (e^{-st}f(t)dt))


then how do you find
lim_{s→∞}L(f)(s) and lim_{s→0}L(f)(s).

 

[quantumdude]

You need to know what the integral of e^-stf(t) looks like before you can do that. First integrate to get your function of s, then handle it on a case by case basis.