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let-give-f-x-e-1-x-with-f-0-0-1-is-f-derivable-in-point-0-2-prove-that-f-n-F-n-x-e-1-x-with-F-n-is-rational-function-3-calculate-f-6-x-and-f-9-x-




Question Number 27784 by abdo imad last updated on 14/Jan/18
let give  f(x) = e^(−(1/x))    with f(0)=0  1) is f derivable in point 0?  2)prove that  f^((n)) = F_n (x) e^(−(1/x))   with F_(n ) is rational function  3) calculate   f^((6))  (x) and  f^((9)) (x)  .
letgivef(x)=e1xwithf(0)=01)isfderivableinpoint0?2)provethatf(n)=Fn(x)e1xwithFnisrationalfunction3)calculatef(6)(x)andf(9)(x).

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