If g(x)=∑n=0∞xng(x) = \sum_{n=0}^{\infty} x^ng(x)=∑n=0∞xn for ∣x∣<1|x| < 1∣x∣<1, what is g(x3)g(x^3)g(x3)?
∑n=0∞xn\sum_{n=0}^{\infty} x^n∑n=0∞xn
∑n=0∞x3n\sum_{n=0}^{\infty} x^{3n}∑n=0∞x3n
∑n=0∞3xn\sum_{n=0}^{\infty} 3x^n∑n=0∞3xn
11−x3\frac{1}{1-x^3}1−x31