Question

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

Answer 1

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

Explanation:

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`