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How to show that $k < m_1+2$?

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#sequences-and-series #algebra-precalculus
196
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Justify an approximation of $\sum_{n=1}^\infty G_n/\binom{\frac{n}{2}+\frac{1}{2}}{\frac{n}{2}}$, where $G_n$ denotes the Gregory coefficients

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#real-analysis #sequences-and-series #asymptotics #binomial-coefficients #analytic-number-theory
68
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Negative Countdown

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#sequences-and-series
100
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Calculating the radius of convergence for $\sum _{n=1}^{\infty}\frac{\left(\sqrt{ n^2+n}-\sqrt{n^2+1}\right)^n}{n^2}z^n$

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#calculus #real-analysis #sequences-and-series #limits
234
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Show that the sequence is bounded below 3

Published on
#sequences-and-series #induction
72
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A particular exercise on convergence of recursive sequence

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#real-analysis #sequences-and-series
52
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Proving whether function-series $f_n(x) = \frac{(-1)^nx}n$

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#real-analysis #sequences-and-series #analysis #convergence-divergence #power-series
529
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Powers of a simple matrix and Catalan numbers

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#sequences-and-series #matrices #catalan-numbers #experimental-mathematics #algebraic-combinatorics
1k
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Convergence of a rational sequence to a irrational limit

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#real-analysis #sequences-and-series #irrational-numbers
431
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studying the convergence of a series:

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#sequences-and-series #convergence-divergence
6k
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The general term of the sequence : 1, 1, -1, -1, 1, 1, ...?

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#sequences-and-series
52
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Oscillation of an iteratively defined sequence

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#sequences-and-series
1.2k
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Decimal expansion of $\frac{1}{p}$: what is its period?

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#sequences-and-series #prime-numbers #fractions
165
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If $a_{1}>2$and $a_{n+1}=a_{n}^{2}-2$ then Find $\sum_{n=1}^{\infty}$ $\frac{1}{a_{1}a_{2}......a_{n}}$

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#real-analysis #sequences-and-series #limits #convergence-divergence
169
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How to find the $\lim\limits_{n \to\infty} \frac{2^{n^2}}{(n!)^2}$

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#calculus #sequences-and-series #limits

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