1.00000000000000E+0000<br>
-5.55555555555556E-0002<br>
 3.88888888888889E-0003<br>
-3.28168304358781E-0004<br>
 3.02683373303597E-0005<br>
-2.93690353247566E-0006<br>
 2.94699833688937E-0007<br>
-3.02881268013648E-0008<br>
 3.16924080002821E-0009<br>
-3.36272265196892E-0010<br>
 3.60799432751365E-0011<br>
-3.90658965080955E-0012<br>
 4.26212431688500E-0013<br>
-4.67996761634905E-0014<br>
 5.16712662699323E-0015<br>
-5.73226024411526E-0016<br>
<br>
Note that successive coefficients appear to decrease by a factor of approximately 9.  Since these are coefficients of odd powers of x, this suggests a radius of convergence around 3.