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The Attempt at a Solution
* forgot to state that I choose m > n > max { N_1, N_2 }.
I'm not sure if i did it right, but seems ok to me =)
Will appreciate your opinion...
The discussion centers on the convergence of series and the application of the Cauchy criterion. A participant mentions selecting indices m and n such that m > n > max { N_1, N_2 }, indicating a specific approach to proving convergence. The conversation reflects a struggle with understanding the Cauchy criterion, which is essential for establishing the convergence of series in mathematical analysis.
PREREQUISITESStudents of mathematics, particularly those studying real analysis, educators teaching series convergence, and anyone seeking to deepen their understanding of the Cauchy criterion.