# Power Series – Radius of convergence to a series about (-1) – Exercise 2934

Exercise

Determine the radius of convergence and interval of convergence for the following power series

$$(x+1)+\frac{{(x+2)}^2}{2\cdot 4}+\frac{{(x+1)}^2}{3\cdot 4^2}+\frac{{(x+1)}^4}{4\cdot 4^3}+...$$

$$[-5,3)$$