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why are these two power series the same

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#ordinary-differential-equations #power-series
571
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Finding Sum for Infinite Series

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#sequences-and-series #power-series #trigonometric-series
110
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How to prove matrix geometric convergence to any matrix?

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#linear-algebra #sequences-and-series #matrices #power-series
561
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$\frac{1}{x^2} \int xe^x dx$ without using integration by parts

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#calculus #integration #sequences-and-series #power-series #formal-power-series
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Graphical interpretation of infinite power series?

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#power-series
39
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What is $s_3$ and $s_4$ for $x$

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#polynomials #summation #power-series
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If $\lim_{x\to\infty} [f(x+1)-f(x)] =l$ then $\lim_{ x\to\infty}f(x)/x =l$ ($f$ is continuous)

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#calculus #functional-analysis #limits #power-series
73
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$\sum\limits_{k=1}^{n^2}E(\sqrt{k})\quad n\in\mathbb{N}^{*}$

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#calculus #real-analysis #sequences-and-series #power-series
461
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Convergence of complex mercator series

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#convergence-divergence #power-series
51
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How to determine if there exist at least one number that is generated by both of the given generating functions?

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#combinatorics #power-series #generating-functions
352
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Complex power series - Radius of convergence

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#complex-analysis #analysis #power-series
167
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Second order differential equation, power series method

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#ordinary-differential-equations #power-series
43
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Functions in $\mathbb {R}[X] $

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#functions #polynomials #vector-spaces #power-series
69
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Convergence of an infinite series?

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#sequences-and-series #convergence-divergence #power-series
151
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Differential equation by power series with IVP not at $0$.

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#ordinary-differential-equations #power-series #boundary-value-problem

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