Changes

:<math>\mathcal{L} \left\{f(t)\right\}=\int_0^{\infty} e^{-st} f(t) \,dt </math>

:<math>\mathcal{L} \left\{f(t)\right\}=\int_0^{\infty} e^{-st} f(t) \,dt </math>

Given the integral converges.  A necessary condition for this integral to converge is

Given the integral converges.  A necessary condition for this integral to converge is

\lim_{b\to\infty} e^{-sb}f(b)=0

:<math>\lim_{b\to\infty} e^{-sb}f(b)=0</math>

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