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What does it mean for a formal power series to be "well-defined"?

Published on
#power-series #definition #formal-power-series
150
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Degree of a formal power series involving Mobius function

Published on
#combinatorics #power-series #mobius-function #formal-power-series
3.9k
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Using power series to evaluate a limit

Published on
#limits #power-series
589
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Computing $n$-th derivative $f(x)= \frac{\cos(5x^4)-1}{x^7}$ using MacLaurin Series.

Published on
#calculus #derivatives #power-series #taylor-expansion
65
Views

Is Conway assuming that when the limit is $\infty$, it exists ?

Published on
#complex-analysis #limits #power-series
173
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Hardy's power series. Cesàro convergence

Published on
#convergence-divergence #power-series #cesaro-summable #tauberian-theory
265
Views

Justification for the power series representation of exponential function

Published on
#complex-analysis #power-series #exponential-function
130
Views

Evaluating $\sum_{n=1}^{\infty} \frac{sin(nz)}{2^n}$

Published on
#complex-analysis #power-series
58
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showing convergence of $\int f(x)dx$ if $f(x)$ converges

Published on
#real-analysis #convergence-divergence #power-series
87
Views

Multiplication of Power Series [Complex]

Published on
#power-series #formal-power-series
357
Views

Stuck in solving the Hermite DE?

Published on
#ordinary-differential-equations #recurrence-relations #power-series
64
Views

product is defined by $(fg)(x)=\sum_{k=0}^{m+n} a_kb_{k-i} x^{k} $

Published on
#polynomials #power-series
384
Views

Show that a power series is equivalent to a Taylor series.

Published on
#proof-verification #power-series #taylor-expansion
80
Views

Finding a geometric series for $\frac{1}{(1 + x)^2}$

Published on
#ordinary-differential-equations #power-series #geometric-series
53
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Radius of convergence of $\sum(n-1/n)^{n^2}z^n$

Published on
#convergence-divergence #power-series

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