Recent content by Manfred1999
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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- Manfred1999
- Post #7
- Forum: Calculus
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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!- Manfred1999
- Post #4
- Forum: Calculus
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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...- Manfred1999
- Post #3
- Forum: Calculus
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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} =...- Manfred1999
- Thread
- Convergence Geometric Geometric series Series
- Replies: 6
- Forum: Calculus