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Find the radius of convergence of the alternating power series

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#sequences-and-series #power-series
87
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For what values of $x$ in $(-3,17)$ does the series $\sum\limits^{\infty}_{n=1}\frac{(-1)^n x^n}{n[\log (n+1)]^2}$ converge?

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#real-analysis #sequences-and-series #analysis #convergence-divergence #power-series
65
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Power series Convergence, same Coefficients, different Powers

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#power-series
139
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Find the sum of the power series $\sum_{n=1}^\infty n*(n+1)*x^n$

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#calculus #real-analysis #power-series
71
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Expansion of $(\frac{x+2}{x})^{-\frac{1}{2}}$ and then find an approximate value...

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#calculus #power-series #binomial-theorem
56
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$\sum_{n=1}^\infty \frac{1}{|x|^n}$ does it converge for |X| >1?

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#calculus #real-analysis #power-series
134
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Find region of convergence of double power series

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#sequences-and-series #convergence-divergence #power-series #uniform-convergence #factorial
39
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Poles of alternating series

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#real-analysis #power-series #roots #laurent-series #absolute-convergence
55
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How to define and compute radius of convergence of double power series?

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#calculus #real-analysis #convergence-divergence #power-series
50
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Result of complex power series

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#complex-analysis #analysis #power-series
45
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Simple expression for $\sum_{n=0}^{\infty} {2n+E-1 \choose 2n} x^{2n}$?

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#combinatorics #power-series
178
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Evaluating an infinite sum q-series

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#sequences-and-series #summation #power-series
32
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Convergence of the following series(hypergeomteric)

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#real-analysis #sequences-and-series #power-series
1.6k
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Matrix Geometric Series

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#linear-algebra #matrices #power-series
118
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Sum of the series $\sum_{k=0}^n \frac{1}{k+1} \binom{n}{k}$

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#sequences-and-series #discrete-mathematics #power-series

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