## Example 8.3.9 (c): Power Series Center

This series has center of convergence *c = -2* and, as you can
confirm, radius *r = 2*. Thus, it converges for

|x + 2| < 2

In particular, the series diverges for *x = 0*, one of the
endpoints of this interval.

But if we *could* find a series centered at *c = 0* it would,
in particular, converge at its center. But since we already know the original
series does *not* converge for *x = 0* we can not rewrite it
with *c=0* as center.