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Exercises

  1. [1NN]Note:Exercise 1, written exam, June 30th, 2017.

    Let \(f\) be a continuous function on the interval \([0, 1]\). Prove that the function

    \[ F (t) =∫_ 0^ 1 f (x)e^{tx} \, {\mathbb {d}}x \]

    is analytic on \(ℝ\).

    Solution 1

    [1NP]

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