- 176

- 0

well i think im kind of brain dead, iv been workin on alot of problems over the last few days, I cant see anything obvious anymore, well this shall be the last one for today (i hope), anyway here it is,

suppose that for some [tex]x\not= 0 [/tex], the series

[tex]\sum_{n=1}^{\infty} a_n x^n[/tex]

is convergent. Prove the series is absolutely convergent for all [tex]w[/tex] with [tex]|w|<|x|[/tex].

Steven