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My attempt at $f''(x)+\sin(f'(x))=0$ does it work?

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#ordinary-differential-equations #power-series #indefinite-integrals #hypergeometric-function
67
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Convergence of complex power series $\sum_n \dfrac{(-4+4\sqrt3i)^n}{n} \dfrac{1}{(z+3)^{6n}}$

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#complex-analysis #convergence-divergence #power-series
52
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Two sums, the relation between them

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#real-analysis #integration #sequences-and-series #number-theory #power-series
79
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General formula for $\sum_{n=1}^{\infty} n^k r^n$ for arbitrary $k$

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#sequences-and-series #power-series
261
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$\sum_{i=1}^n i2^i$

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#sequences-and-series #power-series
45
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Isolate $x$ on finite geometric sum

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#power-series
286
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The rth term in $(1+x)^{1/x} = e[1 - \frac {1}{2}x + \frac {11}{24}x^2 - \frac {7}{16}x^3 + ....]$

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#calculus #power-series
1k
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Finding an Expression as an Elementary Function for a Power Series

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#complex-analysis #proof-verification #power-series
26
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Value of a and b via L-Hospital.

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#limits #power-series
36
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Limit of Coefficient Sequence and Radius of Convergence

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#sequences-and-series #convergence-divergence #power-series #absolute-convergence
509
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Radius of convergence for recursively defined power series

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#convergence-divergence #recurrence-relations #power-series
124
Views

Power series and ratio test

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#real-analysis #sequences-and-series #convergence-divergence #power-series
23
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what conditions on the positive integer $ \ a \ $ imply that the radius of convergence of the power series would be $ \ 1 \ $?

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#convergence-divergence #power-series
71
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Computing closed form of $\sum_{k=0}^n b^{\alpha^k}$

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#sequences-and-series #summation #power-series
1.1k
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Extract coefficients of series of polynomials

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#sequences-and-series #power-series #taylor-expansion

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