(Solved): Use power series operations to find the Taylor series at \( x=0 \) for \( x \tan ^{-1} x^{3} \). Wh ...

Use power series operations to find the Taylor series at \( x=0 \) for \( x \tan ^{-1} x^{3} \). What is the general expression for the nth term for the Taylor series at \( x=0 \) for \( x \tan ^{-1} x^{3} \) ? \[ \sum_{n=0}^{\infty} \]