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series approximation by iteration

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#sequences-and-series #power-series #generating-functions
51
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General formula for this sum $\sum_{i=0}^n \frac{7+2(-\frac{1}{2})^i}{3}$ and strong induction

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#abstract-algebra #sequences-and-series #number-theory #discrete-mathematics #power-series
1.2k
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How can I find the Taylor series for $e^{\sqrt(x)}$ with center $c=1$?

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#power-series #taylor-expansion
481
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Shift Index on an Infinite Summation

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#ordinary-differential-equations #power-series
104
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Finding radius of convergence of two power series

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#real-analysis #sequences-and-series #limits #power-series
77
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Showing that $K[[x_1...x_n]] / (f)$ is a free $K[[x_1,....x_{n-1}]]$ module

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#commutative-algebra #modules #power-series #free-modules
43
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arithmetic equalities drawn from power series

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#induction #power-series #arithmetic
131
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Minimum Radius of Convergence: Power Series?

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#ordinary-differential-equations #convergence-divergence #power-series
212
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Existence of a power series that converges at exactly one point

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#sequences-and-series #convergence-divergence #power-series
74
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Laurent series of $\frac{1}{z^2}$ centered at $z=-1$ in the annulus $1<|z+1|<2$

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#complex-analysis #power-series #laurent-series
82
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Generalization of power series for arbitrary monoids

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#abstract-algebra #polynomials #reference-request #power-series
248
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Is it possible to determine the end behavior of a power series based on the sequence of coefficients?

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#sequences-and-series #convergence-divergence #numerical-methods #power-series #frobenius-method
1.7k
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Determination of the Lower Bound on the Radius of Convergence of the Power Series Solution?

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#ordinary-differential-equations #convergence-divergence #power-series
786
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Computing exponential of matrix with power series

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#linear-algebra #power-series #exponential-function
48
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Finding power series representation of functions

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#power-series

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