Menu Close

deteminer-l-expression-de-g-x-g-x-n-1-oo-1-n-n-x-n-




Question Number 165815 by SANOGO last updated on 08/Feb/22
deteminer l′expression de g(x)  g(x)=Σ_(n=1) ^(+oo) (((−1)^n )/n)x^n
$${deteminer}\:{l}'{expression}\:{de}\:{g}\left({x}\right) \\ $$$${g}\left({x}\right)=\underset{{n}=\mathrm{1}} {\overset{+{oo}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}}{x}^{{n}} \\ $$
Answered by puissant last updated on 08/Feb/22
g(x)=−ln(1+x)=ln((1/(1+x)))..
$${g}\left({x}\right)=−{ln}\left(\mathrm{1}+{x}\right)={ln}\left(\frac{\mathrm{1}}{\mathrm{1}+{x}}\right).. \\ $$
Commented by moubiel last updated on 17/Mar/22
cool

Leave a Reply

Your email address will not be published. Required fields are marked *