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for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.
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Calculus Teaching: Is it possible or desirable to give a severely abbreviated treatment of s...
Is it possible? Of course, it is, as you have implied. Is it desirable? It much depends on your big picture of the course and the bigger picture of the previous and the next courses. Any way, here is …
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Another chicken or egg: sequence or series
I have a rather radical idea. I start with Maclaurin Series! Let's see how it works. You first see graphically and "globally" that you get closer and closer to the function and when adding infinite te …