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let-z-C-developp-at-integrserie-f-z-ln-1-z-with-z-lt-1-2-give-ln-2-i-at-form-of-serie-




Question Number 34632 by math khazana by abdo last updated on 09/May/18
let z∈C  developp at integrserie  f(z)=ln(1+z)  with ∣z∣<1 .  2) give ln(2+i) at form of serie.
$${let}\:{z}\in{C}\:\:{developp}\:{at}\:{integrserie} \\ $$$${f}\left({z}\right)={ln}\left(\mathrm{1}+{z}\right)\:\:{with}\:\mid{z}\mid<\mathrm{1}\:. \\ $$$$\left.\mathrm{2}\right)\:{give}\:{ln}\left(\mathrm{2}+{i}\right)\:{at}\:{form}\:{of}\:{serie}. \\ $$

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