do you know condition for which is possible to exchange limit with integral where s is real
$lim_{ s\rightarrow 0} \int f(x) e^{sx} dx = \int f(x) dx $
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With indefinite integrals? – Tito Eliatron Dec 09 '20 at 11:43
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Also with indefinite but extreme are set – G.M. Dec 09 '20 at 12:32
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Does this answer your question? When can the order of limit and integral be exchanged? – Paul Sinclair Dec 09 '20 at 18:45
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Also Lebesgue Dominated Convergence Theorem and Monotone Convergence Theorem – Paul Sinclair Dec 09 '20 at 18:48
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I think my question were simpler just as constant inside integral. Thanks anyway. – G.M. Dec 10 '20 at 19:41