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BD-BDMO 2019 Problem 6

    When a function f(x)f(x) is differentiated nn times ,the function we get id denoted fn(x)f^n(x) .If f(x)=exxf(x)=\dfrac {e^x}{x} .Find the value of lim⁡n→∞f2n(1)(2n)!\lim_{n \to \infty} \dfrac {f^ {2n}(1)}{(2n)!}

    Dataset text AI-MO AoPS. Quoted with source.

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