Recent content by Manfred1999

  1. M

    MHB Convergence of a geometric series

    Dear Euge, Thank you very much for your very detailed answer. I eventually could answer the question myself. However, your explanations were still really useful. Much appreciated. Manfred
  2. M

    MHB Convergence of a geometric series

    I am an idiot! I just solved the case case. The one where beta goes to infinity! I am an idiot. I am happy to jot down my steps if that helps!
  3. M

    MHB Convergence of a geometric series

    Hi Euge, Thanks so much for doing this. Much appreciated. I think now I know what I did do wrong. I forgot the $ signs. Also, I did not notice that the conditions where not depicted properly. I hope it is clear now. Do you have any idea how do prove the convergence of the series in both cases...
  4. M

    MHB Convergence of a geometric series

    Hi everyone, I am generally familiar with convergent series. However, in one economics paper (Becker&Tomes 1979), I found the following that confuses me:$$\sum_{j=0}^{k} \beta^{j} h^{k-j} = \beta^{k}(k+1)\quad \text{if} \quad\beta =h$$ however, $$\sum_{j=0}^{k} \beta^{j} j^{k-j} =...
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