What is the power series for $ln (1 + x^{4})$ $ln(1+x^4)$ ?

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Answer 1 · 2016-07-02T06:46:49

$x^4-x^8/2+x^12/3-...+(-1)^nx^(4n)/n+...$ . for $--1 <= x <= 1$

Use $ln(!+X)=X-X^2/2+X^3/3-...+(-1)^nX^n/n+...$ ,

$-1 < x <=1$

Here, $X=x^4 and -1 < x^4 <= 1 to -1<= x <=1$

What is the power series for ln(1+x^4)ln(1+x4)ln(1+x^4)?