- #1
steven187
- 176
- 0
hello all
well i think I am kind of brain dead, iv been workin on a lot of problems over the last few days, I can't 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
well i think I am kind of brain dead, iv been workin on a lot of problems over the last few days, I can't 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