My text tells me this:
And, Wolfram tells me this:
Now, I'm not certain what to believe, but I believe I'm not certain because I'm not certain if Wolfram is using the logarithm with base $10$. However, I believe that if Wolfram is correct then my text is wrong since its clear that at $x=1$ the series given by Wolfram diverges.
Which radius of convergence is correct?