Question: Limits Through/Under the Integral Sign

Under what if any conditions is it permissible to take the limit through/under the integral sign? For example the following maple commands

> assume(t > 0)

> limit(int(f(t)*exp(s*t),t = 0..infinity),s = infinity)

0

seems to imply that this really is a permssible operation.

 

 

 

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