In discrete Math Adv Counting Techniques - see picture - h

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The discussion focuses on solving exercise (34) from the book "Discrete Math: Advanced Counting Techniques." Participants express difficulty in interpreting a chaotic picture provided for the problem. Users are encouraged to expand and zoom in on the image for clarity and to reference Example 5 for guidance on applying the general formula. A requirement is emphasized for users to demonstrate their efforts before receiving tutorial help. The thread concludes with a reminder that sharing the problem and the work done is necessary for assistance.
lsepolis123
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Thread closed as member has not shown any effort, did not use the HW template
how to solve exercise (34) in discrete Math Adv Counting Techniques - see picture===> how apply the formula?
D7e83exe34.png
 
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Your picture is too chaotic and barely readable.
 
micromass said:
Your picture is too chaotic and barely readable.
PLEASE click PICTURE to Expand and zoom in , EXAMPLE 5 is end in one paragraph - is the last example the general forumula applies Rosen, Discrete Math and Appl e7 ch.8, Mcgraw hill
 
You are required to show your best efforts before we can provide tutorial help. How have you tried to approach the problem so far...?
 
lsepolis123 said:
PLEASE click PICTURE to Expand and zoom in , EXAMPLE 5 is end in one paragraph - is the last example the general forumula applies Rosen, Discrete Math and Appl e7 ch.8, Mcgraw hill

I do not have access to that book, and I don't want to drive to the library to look for it. Just type out your problem and show the work you have done on the problem so far. The latter is a hard requirement in this Forum.
 
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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...