Identify the interval of convergence for the series ∑n=0∞(x+2)n4n\sum_{n=0}^{\infty} \frac{(x+2)^n}{4^n}∑n=0∞4n(x+2)n.
(−4,4)(-4, 4)(−4,4)
(−6,2)(-6, 2)(−6,2)
(−2,2)(-2, 2)(−2,2)
(−6,6)(-6, 6)(−6,6)