# Tagged Questions

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### Some questions about series and generalized integrals

Do someone of you know any good site about generalized integrals and series (convergence and divergence) with example exercises with detailed solutions ? I would be happy if you did know any. My ...
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### Power Series - Reference Request (?)

I'm not sure if I've tagged that correctly as a reference request or not, but I'm nearly done with Kenneth Ross's book Elementary Analysis, and one of the topic's that's caught my interest to learn ...
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### Zeros of polynomials and power series

Consider $k_i \in \{-1,1\}$ for every $i \in \mathbb{N}$ and consider the family of polynomials $P$ of the form $$\mathop{\sum}\limits_{i=0}^n k_it^i;$$ and the family of power series $S$ of the form ...
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### Reference for power series

I would need some references for power series, Taylors series of elementary functions, derivation and integration of power series, convergence of sequences of functions and series of functions. The ...
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### Not quite alternating series

Quite a lot of things are known about alternating power series $$\sum_{n \geq 0} (-1)^n a_n x^n, \quad a_n > 0,$$ like closed-form expressions for well-chosen $a_n$ and so on. In a problem I'm ...
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### Can any one tell me the books for power series?

Can any one tell me the books for power series? I want to find the power series for sqrt(x). I surf on the internet but there is no success. So please tell me the name of the book where I can find ...
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### Automata and power series

I am taking a class on Automata and Formal Languages and I need to solve an exercise, but I have no idea where to start from. It sounds like this: Decide the coefficients of the words in ...
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### Problem regarding infinite sum of remainders.

Before here @math.SE there was a question regarding a problem on a maths magazine. I decided to look at the link provided, and one problem proposed was (if I'm not recalling this wrongly): Find ...
Given a meromorphic function on $\mathbb{C}$, is the radius of convergence in a regular point exactly the distance to the closest pole? As Robert Israel points out in his answer, that this is of ...