Unformatted text preview: lim n →∞ Z 1 sin ± 2 x + nπ 2 n + x ² dx. 9. Let f be a bounded measurable function that vanishes outside a set of ﬁnite measure. For each y± R , deﬁne: F ( y ) = Z ∞ e-yx f ( x ) dx. Prove that F is a continuous function. F is called the Laplace Transform of f ....
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This note was uploaded on 11/18/2009 for the course MATH 241 taught by Professor Reed during the Spring '09 term at Duke.
- Spring '09