Let (mu) be a finite measure on (([0, infty), mathscr{B}[0, infty))). Find the limit (lim _{r ightarrow

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Let \(\mu\) be a finite measure on \(([0, \infty), \mathscr{B}[0, \infty))\). Find the limit \(\lim _{r\rightarrow \infty} \int_{[0, \infty)} e^{-r x} \mu(d x)\).

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