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Convergent and divergent series

  1. Apr 20, 2013 #1
    Is it posible that the product of two different divergent series be a convergent serie?
  2. jcsd
  3. Apr 21, 2013 #2
    Take [itex]x_n = 1/n[/itex] and [itex]y_n = (-1)^n[/itex].
  4. Apr 21, 2013 #3


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    Hey Denisse and welcdme to the forums.

    Do you mean like an inner product (i.e. z_n = x_n * y_n) or do you mean you multiply two whole final values together? (Like z = x * y where x is final value for series x and similar for y_n)?
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