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masterchiefo
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Please delete this, I made a mistake with the problem and textbook.
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Probability - Tree Diagram problem
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- Diagram Probability Tree
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The discussion revolves around a user requesting to delete their post due to a mistake in the problem and textbook related to a probability tree diagram. They express confusion about the distribution of X=1 and Y=2, indicating a specific part of the tree that does not match their expectations. Another user points out that deleting posts after receiving responses contradicts forum policy and emphasizes the importance of quoting in replies to maintain thread integrity. The conversation highlights the challenges of accurately labeling branches in probability diagrams and the need for clarity in problem-solving. Overall, the thread underscores the importance of proper communication and adherence to forum guidelines in collaborative learning environments.
First, I tried to show that ##f_n## converges uniformly on ##[0,2\pi]##, which is true since ##f_n \rightarrow 0## for ##n \rightarrow \infty## and ##\sigma_n=\mathrm{sup}\left| \frac{\sin\left(\frac{n^2}{n+\frac 15}x\right)}{n^{x^2-3x+3}} \right| \leq \frac{1}{|n^{x^2-3x+3}|} \leq \frac{1}{n^{\frac 34}}\rightarrow 0##. I can't use neither Leibnitz's test nor Abel's test. For Dirichlet's test I would need to show, that ##\sin\left(\frac{n^2}{n+\frac 15}x \right)## has partialy bounded sums...
It's easy to see that any polynomial is function of that class. Also it seems that composition of exponent and polynomial is good as well. G_f(a, b) should be equal G_f(b, a) as the f(a+b) is symmetrical.
Does anyone have information about this or at least related to it?