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let-f-x-ln-1-arctanx-1-calculate-f-n-x-then-f-n-0-2-developp-f-at-integr-serie-




Question Number 40782 by math khazana by abdo last updated on 27/Jul/18
let f(x)=ln(1+arctanx)  1) calculate f^((n)) (x) then f^((n)) (0)  2) developp f at integr serie .
$${let}\:{f}\left({x}\right)={ln}\left(\mathrm{1}+{arctanx}\right) \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{\left({n}\right)} \left({x}\right)\:{then}\:{f}^{\left({n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}\:. \\ $$

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