How do I find the power series form of $\,f(x)\,$:
$$\displaystyle f(x)=\sqrt{\frac{1+x}{1-x}}$$
I tried to multiply the fraction by $\,\dfrac{1+x}{1+x}\,$ but it didn't help...
2026-04-08 17:29:08.1775669348
Power series of $f(x)=\sqrt{\frac{1+x}{1-x}}$
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Try writing it as $ f(x) = \sqrt{ 1- x^2 } \times 1/(1-x) $ . Then write $ 1/(1-x) $ as a geometric series and the other term can be expanded using binomial theorem. Hope that helps.