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BdMO National Higher Secondary 2019/6

Source: BdMO National Higher Secondary 2019/6

March 4, 2019
calculusnumber theory

Problem Statement

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)!}
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