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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

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# Absolutely convergent

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