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Determine the upper bound of a recurrence relation:$T(n)\le T(n-4)+T(n-10)$

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#sequences-and-series #recurrence-relations
176
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Why is $\underbrace {i^{i^{i^{.^{.^{.^{i}}}}}}}_{n \ times}$ converging?

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#sequences-and-series #complex-numbers #tetration
104
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Find $\sum_{n=1}^{\infty} n\left(2n-1\right)x^{2n}$

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#real-analysis #sequences-and-series #limits #convergence-divergence #power-series
174
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The even-index reciprocal Lucas constant and $\sum_{n=1}^\infty \frac1{x_1^{2n}+x_2^{2n}}$

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#sequences-and-series #golden-ratio #theta-functions
262
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Write the closed form of the corresponding series

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#sequences-and-series
97
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Extrema of this sequence

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#sequences-and-series #limsup-and-liminf
11.8k
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If the limit of a sequence equals infinity as $n$ approaches infinity does the sequence diverge?

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#real-analysis #sequences-and-series #limits
806
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Infinite series with gamma function

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#sequences-and-series #gamma-function
171
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Is the ring of sequences elementarily equivalent to the subring of convergent sequences?

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#abstract-algebra #sequences-and-series #logic #ring-theory #model-theory
31
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Is not enough for a sequence being monotonic and bounded for $n \geq n_0$?

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#real-analysis #sequences-and-series
1.1k
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$\lim \sup$ and $\lim \inf$ of root and ratio test sequences of a series (Rudin)

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#real-analysis #sequences-and-series #analysis #limsup-and-liminf
105
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Approximate $ \ \large \int_{0}^{1} \frac{e^x-1}{x} dx $

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#sequences-and-series
56
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Bounds on asymptotics of function series in terms of asymptotics of summands

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#sequences-and-series #functional-analysis #convergence-divergence #asymptotics #uniform-convergence
313
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Zeta regularization vs Dirichlet series

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#sequences-and-series #zeta-functions #dirichlet-series #regularization #summation-method
932
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Stirling's series for Log Gamma

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#sequences-and-series #logarithms #gamma-function #bernoulli-numbers

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