#Cauchy Product

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frail arch
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Given is (see picture) with |q|<1.
I have to determine the limit of the partialsum.

I am unsure how the Cauch product works. I have seen 2 different definitions but my professor uses this one:

Maybe someone can help me understand how to determine the limit of that partialsum 😓

  • Let A= sum k=0 to infinity of (a_k) and B= sum k=0 to infinity of (b_k)
image.png image.png
last scarabBOT
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#
  1. Wait patiently for a helper to come along.
  2. Once someone helps you, say thank you and close the thread with:
+close
  1. Feel free to nominate the person for helper of the week in #helper-nominations
  2. Do not ping the mods, unless someone is breaking the rules.
  3. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
frail arch
#

+close

last scarabBOT
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