The series $\sum C_n(x + 4)^n$ converges at $x = 0$ and diverges at $x = -10$.

Based on this information we know something about how big and small the radius of convergence $R$ of the power series can be. Between what two values must $R$ lie?
$R \in$
(Give the possible values as an interval: thus, if $R$ can be greater than or equal to 3 but must be less than 8, enter [3,8). If there is no upper or lower bound for $R$, give the value as Inf or -Inf.)