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Exercises
[1NN]Note:Exercise 1, written exam, June 30th, 2017.
Let \(f\) be a continuous function on the interval \([0, 1]\). Prove that the function
\[ F (t) =β«_ 0^ 1 f (x)e^{tx} \, {\mathbb {d}}x \]
is analytic on \(β\).
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