Can Two Divergent Series Multiply to a Convergent Series?

Denisse · Apr 20, 2013

Is it posible that the product of two different divergent series be a convergent serie?

micromass · Apr 21, 2013

Take [itex]x_n = 1/n[/itex] and [itex]y_n = (-1)^n[/itex].

chiro · Apr 21, 2013

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)?

Can Two Divergent Series Multiply to a Convergent Series?

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