Consider the series ∑n=0∞(x24)n\sum_{n=0}^{\infty} (\frac{x^2}{4})^n∑n=0∞(4x2)n. For what values of xxx does this series converge?
−2<x<2-2 < x < 2−2<x<2
x<4x < 4x<4
∣x∣<1|x| < 1∣x∣<1
x>0x > 0x>0