# What is the power series for ln(1+x^4)?

${x}^{4} - {x}^{8} / 2 + {x}^{12} / 3 - \ldots + {\left(- 1\right)}^{n} {x}^{4 n} / n + \ldots$. for $- - 1 \le x \le 1$
Use ln(!+X)=X-X^2/2+X^3/3-...+(-1)^nX^n/n+...,
$- 1 < x \le 1$
Here, $X = {x}^{4} \mathmr{and} - 1 < {x}^{4} \le 1 \to - 1 \le x \le 1$