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Question Number 165461 by mathocean1 last updated on 01/Feb/22
show that argth(x)=(1/2)ln(((1+x)/(1−x)))  for x ∈ ]−1;1[
$${show}\:{that}\:{argth}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{2}}{ln}\left(\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}\right) \\ $$$$\left.{for}\:{x}\:\in\:\right]−\mathrm{1};\mathrm{1}\left[\right. \\ $$

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