### Home > CALC > Chapter 11 > Lesson 11.3.1 > Problem11-103

11-103.

Multiple Choice: The radius of convergence of $\displaystyle\sum _ { n = 1 } ^ { \infty } n ! x ^ { n }$ is:

1. $−1$

1. $0$

1. $\frac { 1 } { 2 }$

1. $1$

1. $\sqrt { 2 }$

Therefore this series diverges for all $x$.