4. The range (or interval) of $x$ that makes series $\sum_{n=0}^{\infty} \frac{(-2)^n (x+4)^n}{n+3}$ convergent is _______ (4) _______.
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4. The range (or interval) of $x$ that makes series $\sum_{n=0}^{\infty} \frac{(-2)^n (x+4)^n}{n+3}$ convergent is _______ (4) _______.